Fractions http://www.lahc.edu/math/frankma.htm
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items.
Fractions
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
Fractions
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
Fractions
But in real life, we also need to measure and record fragments of a whole item.
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
7 ÷ 2 = 3 with R = 1 .
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
For example, divide 7 apples between 2 people, we have that
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
7 ÷ 2 = 3 with R = 1 .
2 people 3 for each 1 remains
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
For example, divide 7 apples between 2 people, we have that
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
7 ÷ 2 = 3 with R = 1 .
2 people 3 for each 1 remains
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
For example, divide 7 apples between 2 people, we have that
or
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
7 ÷ 2 = 3 with R = 1 .
2 people 3 for each 1 remains
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
For example, divide 7 apples between 2 people, we have that
To share the remaining apple between 2 people, we cut it into two pieces of equal size and let each person takes one piece.
or
Numbers 1, 2, 3, 4,.. are called counting numbers, or natural numbers and they are used to track whole items. (Note that 0 is not a counting number because we don’t have to count when there is nothing to count.)
7 ÷ 2 = 3 with R = 1 .
2 people 3 for each 1 remains
Fractions
But in real life, we also need to measure and record fragments of a whole item. Many such fragments come from sharing whole items, i.e. from the division operation.
For example, divide 7 apples between 2 people, we have that
To share the remaining apple between 2 people, we cut it into two pieces of equal size and let each person takes one piece.
Fragments obtained by cutting whole items into equal parts are measured and recorded with fractions.
or
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
Fractions
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
Fractions
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
Fractions
Fractions are numbers that measure parts of whole items.
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
36
Fractions
Suppose a pizza is cut into 6 equal slices and we have 3 of
of the pieces, the fraction that represents this quantity is .
Fractions are numbers that measure parts of whole items.
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
The bottom number is the number of equal parts in the division and it is called the denominator.
36
Fractions
Suppose a pizza is cut into 6 equal slices and we have 3 of
of the pieces, the fraction that represents this quantity is .
Fractions are numbers that measure parts of whole items.
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
The bottom number is the number of equal parts in the division and it is called the denominator.
36
Fractions
Suppose a pizza is cut into 6 equal slices and we have 3 of
of the pieces, the fraction that represents this quantity is .
Fractions are numbers that measure parts of whole items.
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
The bottom number is the number of equal parts in the division and it is called the denominator.
The top number “3” is the number of parts that we have and it is called the numerator.
36
Fractions
Suppose a pizza is cut into 6 equal slices and we have 3 of
of the pieces, the fraction that represents this quantity is .
Fractions are numbers that measure parts of whole items.
* We will address fractions of other type of numbers later.
Fractions are numbers of the form (or N/D) where N, D are whole numbers* where D ≠ 0.
ND
36
The bottom number is the number of equal parts in the division and it is called the denominator.
The top number “3” is the number of parts that we have and it is called the numerator.
Fractions
Suppose a pizza is cut into 6 equal slices and we have 3 of
of the pieces, the fraction that represents this quantity is .
Fractions are numbers that measure parts of whole items.
3/6 of a pizza
36
* We will address fractions of other type of numbers later.
Fractions For larger denominators we can use a pan–pizza for pictures.
58
Fractions For larger denominators we can use a pan–pizza for pictures. For example,
58
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
For larger denominators we can use a pan–pizza for pictures. For example,
58
Cut the pizza into 8 pieces,
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
For larger denominators we can use a pan–pizza for pictures. For example,
58
Cut the pizza into 8 pieces,
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
For larger denominators we can use a pan–pizza for pictures. For example,
58
5/8 of a pizza
Cut the pizza into 8 pieces,take 5 of them.
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
For larger denominators we can use a pan–pizza for pictures. For example,
58
712
5/8 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
For larger denominators we can use a pan–pizza for pictures. For example,
58
712
5/8 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
For larger denominators we can use a pan–pizza for pictures. For example,
Cut the pizza into 12 pieces,
58
712
5/8 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
For larger denominators we can use a pan–pizza for pictures. For example,
Cut the pizza into 12 pieces,
58
712
5/8 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
or
For larger denominators we can use a pan–pizza for pictures. For example,
Cut the pizza into 12 pieces,
58
712
5/8 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
or
For larger denominators we can use a pan–pizza for pictures. For example,
Cut the pizza into 12 pieces,
take 7 pieces.
58
712
5/8 of a pizza
7/12 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
or
For larger denominators we can use a pan–pizza for pictures. For example,
Cut the pizza into 12 pieces,
take 7 pieces.
58
712
5/8 of a pizza
7/12 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
or
Cut the pizza into 12 pieces,
For larger denominators we can use a pan–pizza for pictures. For example,
Note that or = 1,88
1212take 7 pieces.
58
712
5/8 of a pizza
7/12 of a pizza
Fractions
How many slices should we cut the pizza into and how should we do the cuts?
or
or
Cut the pizza into 12 pieces,
For larger denominators we can use a pan–pizza for pictures. For example,
Note that or = 1,88
1212take 7 pieces.
and in general that
xx = 1.
Fractions Whole numbers can be viewed as fractions with denominator 1.
51
x1
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = .
51
x1
0x
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
The Ultimate No-No of Mathematics:The denominator (bottom) of a fraction can't be 0. (It's undefined if the denominator is 0.)
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
The Ultimate No-No of Mathematics:The denominator (bottom) of a fraction can't be 0. (It's undefined if the denominator is 0.)
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
Fractions that represents the same quantity are called equivalent fractions.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
The Ultimate No-No of Mathematics:The denominator (bottom) of a fraction can't be 0. (It's undefined if the denominator is 0.)
12
=24
=36
=48
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
Fractions that represents the same quantity are called equivalent fractions.
… are equivalent fractions.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
The Ultimate No-No of Mathematics:The denominator (bottom) of a fraction can't be 0. (It's undefined if the denominator is 0.)
12
=24
=36
=48
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
Fractions that represents the same quantity are called equivalent fractions.
… are equivalent fractions.
The fraction with the smallest denominator of all the equivalent Fractions s called the reduced fraction.
However, does not have any meaning, it is undefined.
51
x1
0x
x0
The Ultimate No-No of Mathematics:The denominator (bottom) of a fraction can't be 0. (It's undefined if the denominator is 0.)
12
=24
=36
=48
is the reduced fraction in the above list. It’s the easiest one 12
Fractions Whole numbers can be viewed as fractions with denominator 1.
Thus 5 = and x = . The fraction = 0, where x 0.
Fractions that represents the same quantity are called equivalent fractions.
… are equivalent fractions.
The fraction with the smallest denominator of all the equivalent Fractions s called the reduced fraction.
to execute for cutting a pizza to obtain the specified amount.
Fractions We use the following fact to reduce a fraction.
Factor-Cancellation Rule
Fractions We use the following fact to reduce a fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Fractions We use the following fact to reduce a fraction.
.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
=39
27
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
39
27
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
Fractions We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
We may also divide both by 6 to obtain the answer in one step.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
Fractions
In other words, a factor common to both the numerator and the
denominator may be canceled as 1,
We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
We may also divide both by 6 to obtain the answer in one step.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
=x * cy * c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
Fractions
In other words, a factor common to both the numerator and the
denominator may be canceled as 1,
We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
i.e.
We may also divide both by 6 to obtain the answer in one step.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
=x * cy * c
x * cy * c
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
Fractions
In other words, a factor common to both the numerator and the
denominator may be canceled as 1,
We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
i.e.
We may also divide both by 6 to obtain the answer in one step.
1
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
=x * cy * c
x * cy * c 1
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
(We may omit writing the 1’s after the cancellation.)
Fractions
In other words, a factor common to both the numerator and the
denominator may be canceled as 1,
We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
i.e.
We may also divide both by 6 to obtain the answer in one step.
Factor-Cancellation Rule
Given a fraction and c is a factor of both, thenab
ab = a ÷ c
xy .=x * c
y * c =x * cy * c 1
b ÷ c
Example A. Reduce the fraction . 7854
7854 = 54 ÷ 2
78 ÷ 2= 9
13
To reduce a fraction, we keep dividing the top and bottom by common numbers until no more common division is possible.
= 27/339/3
which is reduced. 39
27
(We may omit writing the 1’s after the cancellation.)
Fractions
In other words, a factor common to both the numerator and the
denominator may be canceled as 1,
We use the following fact to reduce a fraction.
.
that is, if the numerator and denominator are divided by the same quantity c, the result is simpler equivalent fraction.
i.e.
We may also divide both by 6 to obtain the answer in one step.
Fractions So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 6
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
Fractions
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
On Cancellations
Fractions
There are two types of cancellations.
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
On Cancellations
Fractions
There are two types of cancellations.
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
On Cancellations
The phrase “the 5’s cancelled each other” is used sometime to describe “5 – 5 = 0” in the sense that they’re reduced to “0”, i.e. the 5’s neutralized each other.
Fractions
There are two types of cancellations.
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
On Cancellations
The phrase “the 5’s cancelled each other” is used sometime to describe “5 – 5 = 0” in the sense that they’re reduced to “0”, i.e. the 5’s neutralized each other.
We also use the phrase “the 5’s cancelled as 1” to describe
55
= 1“ ” in the sense that they are common factors
so they maybe crossed out to be 1.
One common mistake when simplifying Fractions s to cross out non-factors.
Fractions
There are two types of cancellations.
Example B. Reduce the fraction . 2 * 3 * 4 * 5
So if the top and bottom of a fraction are already factored, then all we’ve to do is to scan and cross out pair(s) of common factors.
3 * 4 * 5 * 62 * 3 * 4 * 53 * 4 * 5 * 6 =
26 =
13 which is reduced.
On Cancellations
The phrase “the 5’s cancelled each other” is used sometime to describe “5 – 5 = 0” in the sense that they’re reduced to “0”, i.e. the 5’s neutralized each other.
We also use the phrase “the 5’s cancelled as 1” to describe
55
= 1“ ” in the sense that they are common factors
so they maybe crossed out to be 1.
We address this issue next.
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor. A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor. A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
35
=
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
= 2 + 1 2 + 3
= 13
35
= !?
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
= 2 + 1 2 + 3
= 13
35
=
This is addition. The 2 is a term.Can’t cancel!Cancelling them wouldchange the fraction.
!?
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
= 2 + 1 2 + 3
= 13
35
= !? 2 * 1
2 * 3
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
This is addition. The 2 is a term.Can’t cancel!Cancelling them wouldchange the fraction.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
= 2 + 1 2 + 3
= 13
35
= !? 2 * 1
2 * 3
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
This is addition. The 2 is a term.Can’t cancel!Cancelling them wouldchange the fraction.
Yes, 2 is a common factor. They may be canceled to be 1, which produces an equivalent fraction.
One common mistake in cancelling factor is to cancel a term, i.e. a common number that is adding (or subtracting) in the numerator or denominator.
2 + 12 + 3
= 2 + 1 2 + 3
= 13
35
= !? 2 * 1
2 * 3 = 13
A participant in a sum or a difference is called a term.Fractions
The “2” in the expression “2 + 3” is a term (of the expression)
The “2” is in the expression “2 * 3” is called a factor.
Terms may not be cancelled. Only factors may be canceled.
A participant in a multiplication is called a factor.
This is addition. The 2 is a term.Can’t cancel!Cancelling them wouldchange the fraction.
Yes, 2 is a common factor. They may be canceled to be 1, which produces an equivalent fraction.
Related Documents
