Transcript
Equivalent Fractions
What They Are & How To Work Them Out.
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Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.
This tells you how many equal size pieces the fraction is divided into.
Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.
This tells you how many equal size pieces the fraction is divided into.
1/2 (one half) is divided into 2 equal size pieces
Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.
This tells you how many equal size pieces the fraction is divided into.
1/2 (one half) is divided into 2 equal size pieces
1/3 (one third) is divided into 3 equal size pieces
one third
one third
one third
Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.
This tells you how many equal size pieces the fraction is divided into.
1/2 (one half) is divided into 2 equal size pieces
1/3 (one third) is divided into 3 equal size pieces
1/4 (one quarter) is divided into 4 equal size pieces
one third
one third
one third
one quarter
one quarter
one quarter
one quarter
The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.
2/3 means two-thirdsone third
one third
one third
one quarter
The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.
2/3 means two-thirds
3/4 means three-quarters
one third
one third
one third
one quarter
one quarter
one quarter
one quarter
The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.
2/3 means two-thirds
3/4 means three-quarters
4/5 means four-fifths
one third
one third
one third
one quarter
one quarter
one quarter
one quarter
One fifth
One fifth
One fifth
One fifthOne fifth
Having learned what a fraction is, you now need to learn about equivalent fractions.
One half
One quarter
One quarter
One sixth
One sixth
One sixth
Having learned what a fraction is, you now need to learn about equivalent fractions.
Equivalent fractions are 2 or more fractions that mean the same thing.
One half
One quarter
One quarter
One sixth
One sixth
One sixth
Having learned what a fraction is, you now need to learn about equivalent fractions.
Equivalent fractions are 2 or more fractions that mean the same thing.
12
one half
One half
One quarter
One quarter
Having learned what a fraction is, you now need to learn about equivalent fractions.
Equivalent fractions are 2 or more fractions that mean the same thing.
12
one half
24
two quarters
Is equivalent to:
One half
One quarter
One quarter
One sixth
One sixth
One sixth
Having learned what a fraction is, you now need to learn about equivalent fractions.
Equivalent fractions are 2 or more fractions that mean the same thing.
12
one half
24
two quarters
36
three sixths
Is equivalent to:
Is equivalent to:
One half
One quarter
One quarter
One sixth
One sixth
One sixth
Having learned what a fraction is, you now need to learn about equivalent fractions.
Equivalent fractions are 2 or more fractions that mean the same thing.
12
one half
24
two quarters
These 3 fractions all take up the same amount of space and have the same value.
36
three sixths
Is equivalent to:
Is equivalent to:
One half
One quarter
One quarter
One sixth
One sixth
One sixth
Equivalent fractions can be found by using a fraction wall like this:
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
23
69
X 3
X 3
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
23
69
X 3
X 3
25
1435
X 7
X 7
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
23
69
X 3
X 3
25
1435
X 7
X 7
45
2025
X 5
X 5
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
23
69
X 3
X 3
25
1435
X 7
X 7
45
2025
X 5
X 5
16
424
X 4
X 4
However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top
of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
13
26
X 2
X 2
23
69
X 3
X 3
25
1435
X 7
X 7
45
2025
X 5
X 5
47
2442
X 6
X 6
16
424
X 4
X 4
Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:
34
?12
Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:
34
?12
You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12
You then have to multiply the original numerator by the same number:
Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:
34
?12
You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12
You then have to multiply the original numerator by the same number:
34
912
X 3
X 3
EXAMPLE 2:
57
?35
EXAMPLE 2:
57
?35
In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same
number:
EXAMPLE 2:
57
?35
In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same
number:
57
2535
X 5
X 5
The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:
25
8?
The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:
25
8?
You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8
You then have to multiply the original denominator by the same number:
The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:
25
8?
You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8
You then have to multiply the original denominator by the same number:
25
820
X 4
X 4
EXAMPLE 2:
59
40?
EXAMPLE 2:
59
40?
In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same
number:
EXAMPLE 2:
59
40?
In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same
number:
59
4072
X 8
X 8
EXAMPLE 2:
59
40?
In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same
number:
59
4072
X 8
X 8
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