Topic 9 Review Test on Monday!!!
Topic 9 Review
Test on Monday!!!
FRACTIONS
A fraction is one or more _______ of a whole that is divided into ________ parts.
parts
equal.
Arranging on a number line Are the following closer to 0, ½, or 1?
1) 12) ½3) 04) 05) 16) 07) 1/2
.
1) 8/9 2) 0.63) 3/184) 0.15) 13/166) 0.087) 8/17
Which of the following is out of place?
1/20 1
A1/10
B 0.6
C7/10
D 0.9
B
Where should it be?
How do you find equivalent fractions? Example: 3/7
Multiply the top and bottom by the same number.
2 is the easiest.
6/14
Equivalent fractions Name 2 equivalent fractions. 3/6
2/7
7/11
Possible answers ½ 6/12
Possible answers 4/14 6/21
Possible answers 14/22 21/33
.
The MATH! When you change a mixed number into
an improper fraction, you have to be…
How to be b-B-add:
326
b…bottom times
B…BIG, then
Add…the numerator
6 x 3 = 18 + 2 = 20 Keep th
e original
denominator20
6
Converting Mixed Numbers153
+= 16
3
15333
Multiply the whole number by the denominator
Add the numerator to the result
Compute the final result
Place over the initial denominator
You try a few
8 ½
31
3
2 x 8 + 1 = 17
2
103 x 3 + 1 =
3
Now go the other wayImproper fraction to a mixed number 12
15
5
4
5 1202
10
2
2 2 5 =
How do you find the simplest form? What is the difference between a factor
and a multiple of a number???
8: 8, 16, 24, 32, 40, 48, 56.....
8: 1, 2, 4, 8
Which is which?
Factors of 8
Multiples of 8
Example:
2028
201 x 20
2 x 10
4 x 5
281 x 28
2 x 14
4 x 7
20: 1, 2, 4, 5, 10, 20
28: 1, 2, 4, 7, 14, 28
Common Factors: 1, 2, 4
GCF: 4
We will divide by 4.
÷ 4÷ 4
=57
Simplest Form
Simplest form Are these fractions equivalent? 2/5 and 6/15
Which is in simplest form?andHow do you know?
.
*Remember*
It is easy to compare fractions if they have the same denominator. All you have to do is to compare their numerators.
When the denominators are the same, simply compare the numerator.
2/8 6/8<
What do you do when the denominators are not the same? You must find a common denominator. Least Common Multiple (LCM) For example 6/8 and 4/5
5: 5, 10, 15, 20, 25, 30, 35, 40, 45.....8: 8, 16, 24, 32, 40, 48, 56.....
For example 6/8 and 4/5
5: 5, 10,15, 20, 25, 30, 35, 40, 45.....8: 8, 16, 24, 32, 40, 48, 56.....
Do you see a common multiple???
40 Use 40 as the common denominator.
6/8 x = 30/40
4/5 x = 32/40 .
Another way is to multiply denominators
5
6
3
4
What are the two denominators?
4 x 6 = 24
4 and 6
The common denominator is 24.
OR X out Teacher demonstrated
REVIEW quiz!!!
1. Which fraction names the blue shaded part of the figure below?
A.4/7B.3/7C.½D.3/8
2. How can 52/86 be written in simplest form?
A. 52/86B. 2/2C. 17/28D. 26/43
3. Which fraction represents 9 ÷ 1000?
A. 9/10B. 9/1000C. 9/100D. 1/9
4. What is 6/100 expressed as a decimal?
A. 6B. 0.6C. 0.06D. 0.006
5. In order to go outside we must have 4/5 of the teachers in agreement. Is 9/11 of the teacher’s approval enough?
A.Yes, Because 4/5 > 9/11 B.Yes, Because 4/5 < 9/11C.No, Because 4/5 > 9/11D.No, Because 4/5 < 9/11
6. Amy ran 1 ½ miles on Thursday, 2 2/5
miles on Saturday, and 1 1/10 miles on Monday. Which list has the miles Amy ran from greatest to least?
A. 2 2/5, 1 1/10, 1 ½
B. 1 1/10, 1 ½, 2 2/5
C. 2 2/5, 1 ½, 1 1/10
D. 1 1/10, 1 2/5, 1 ½
7. Which number represents S on the number line?
43
5S
A. 3/5B. 4 ½C. ½D. 4 3/5
8. Which mixed number equals 16/3?
A. 5 1/3
B. 15 1/3
C. 2 3/6
D. 6 0/3
9. What is the greatest common factor of 24 and 36?
A. 36B. 12C. 6D. 72
10.Which fraction is equivalent to 1/3?
A. 20/60B. 60/100C. 2/5D. 9/16
11. Daniel has 66/100 of a dollar in his pocket. Which is equal to 66/100?
A. 66B. 6.6C. 0.60D. 0.66
12. Which of the following equals 12/8?
A. 1B. 2.3C. 4.6D. 1.5
13. There are 7 fluffy puppies, 6 soft puppies, and 5 slick puppies. What fraction of the puppies are soft?A. 6/7B. 1/3C. 7/19D. 6/19
Answers 1. B 11. D 2. D 12. D 3. B 13. B 4. C 5. B 6. C 7. D 8. A 9. B 10. A
1. Which fraction names the blue shaded part of the figure below?
A.4/7B.3/7C.½D.3/8
2. How can 52/86 be written in simplest form?
A. 52/86B. 2/2C. 17/28D. 26/43
3. Which fraction represents 9 ÷ 1000?
A. 9/10B. 9/1000C. 9/100D. 1/9
4. What is 6/100 expressed as a decimal?
A. 6B. 0.6C. 0.06D. 0.006
5. In order to go outside we must have 4/5 of the teachers in agreement. Is 9/11 of the teacher’s approval enough?
A.Yes, Because 4/5 > 9/11 B.Yes, Because 4/5 < 9/11C.No, Because 4/5 > 9/11D.No, Because 4/5 < 9/11
6. Amy ran 1 ½ miles on Thursday, 2 2/5
miles on Saturday, and 1 1/10 miles on Monday. Which list has the miles Amy ran from greatest to least?
A. 2 2/5, 1 1/10, 1 ½
B. 1 1/10, 1 ½, 2 2/5
C. 2 2/5, 1 ½, 1 1/10
D. 1 1/10, 1 2/5, 1 ½
7. Which number represents S on the number line?
43
5S
A. 3/5B. 4 ½C. ½D. 4 3/5
8. Which mixed number equals 16/3?
A. 5 1/3
B. 15 1/3
C. 2 3/6
D. 6 0/3
9. What is the greatest common factor of 24 and 36?
A. 36B. 12C. 6D. 72
10.Which fraction is equivalent to 1/3?
A. 20/60B. 60/100C. 2/5D. 9/16
11. Daniel has 66/100 of a dollar in his pocket. Which is equal to 66/100?
A. 66B. 6.6C. 0.60D. 0.66
12. Which of the following equals 12/8?
A. 1B. 2.3C. 4.6D. 1.5
13. There are 7 fluffy puppies, 6 soft puppies, and 5 slick puppies. What fraction of the puppies are soft?A. 6/7B. 1/3C. 7/19D. 6/19
Homework!!!!! You should be studying your notes!!! Test Monday!!!