Name ______________________________________
Chapter 6 Test study review
1. Zoe is practicing the drums. She spends 1/4 hour practicing scales and 1/3 hour practicing the
piece for her recital. Which number is a common denominator for 1/4 and 1/3 ?
Find the factors for the denominators
A) 1
Find common multiple for denominators 4 and 3
B) 2
3: 3,6,9,12
C) 7
4: 4,8,12,
D) 12
2. Trevor used 1/4 yard of string for his science project. Which fraction is equivalent to 1/4?
A) 1/8 yard
* multiply the numerator and denominator by the same number to find the
B) 2/8 yard
equivalent fraction
C) 2/4 yard
1/4x 2/2= 2/8
D) 4/2 yard
* or
1) cross multiply the denominator with the numerator and the numerator with the
Denominator to find the equivalent fraction
So 1/4 and 2/8
4 X 2= 8 and 1 x 8 = 8
3. In the fourth grade chorus, 4/24 of the students are girls. In simplest form, what fraction of the students
in the fourth grade chorus are girls?
A) 4/12
B) 2/12
C) 2/6
D) 1/6
1) Find the factors of numerator and denominator
4: 1,2,4
24: 1,2,4,6,12,24
2) divide Numerator and denominator by largest common factor to find simplest form
4 divided into 4= 1 and 4 divided into 24 = 6 so, 1/6
4. Shawn used 1/2 cup of M&Ms and 2/3 cup of Reeses Pieces to make goody bags for Mrs. Keefer’s
class. His mother asked if he used more M&Ms or more Reeses Pieces in his goody bags. Which
statement correctly compares the fractions?
A) 1/2>2/3
B) 1/2<2/3
C) 2/3<1/2
D) 2/3=1/2
1) cross multiply the denominator with the numerator and the numerator with the
denominator
2 x 2= 4 and 1 x 3 = 3
3
1/2
4
< 2/3
5. Abbie is helping her mom make flower arrangements. Each vase has 5 tulips, and 2/5 of the tulips in
each vase are purple. What fraction of the tulips in the vases is purple?
A) 10/25
B) 25/10
1) multiply the numerator and denominator by 5
2/5 x 5/5 = 10/25
C) 12/30
D) 30/12
6. Kaleigh worked on her math review test packet for ¼ hour on Saturday and ½ hour on Sunday. Which
is a common denominator for 1/4 and 1/2?
A) 1
1) Find common multiples for denominators 4 and 2
B) 2
2: 2,4,6,8,
C) 4
4: 4,8,12,16
D) 6
7. Joshua cuts 1/5 sheet of orange construction paper. What fraction is equivalent to 1/5?
A) 1/6
B) 3/15
C) 15/45
D) 15/3
1) cross multiply the denominator with the numerator and the numerator with the
denominator to find the equivalent
multiply 5 and 3 , and multiply 1 and15
15
15
1/5 =
3/15
8. Colleen made a list of fractions and asked Tina to find the fraction in simplest form. Which fraction
should Tina chose?
A) 6/9
B) 5/10
1) 1/5 because it cannot be simplified any farther,
C) 4/8
whereas 6/9 can be simplified to 2/3 by dividing by 3,
D) 1/5
and 5/10 can be simplified to 1/5 by dividing by 5
and 4/8 can be simplified to 1/2 by dividing by 4
9. Damen rode his bike 4/5 mile. Christopher rode his bike 1/3 mile. Which statement is true?
A) 4/5>1/3
B )1/3>4/5
C) 1/3=4/5
1) cross multiply the denominator with the numerator and the numerator with the
denominator
5 x 1 = 5 and 4 x 3 =12
D) 4/5<1/3
12
4/5
5
>
1/3
10. Jack’s cookie recipe calls for 3/4 cup of sugar. He only has a 1/8 measuring cup. Which equivalent
fraction shows the amount of sugar he can use for the recipe?
A) 2/8
B) 3/8
1) multiply the 3/4s numerator and denominator by 2 to get the equivalent fraction
3x2 =6
4x2=8
so 6/8
C) 4/8
D) 6/8
11. Avery makes paper origami flowers. She puts 10 flowers in a bunch, and 2/10 of the flowers are pink.
If Avery makes 4 bunches of flowers, how many of the flowers will be pink?
A) 2
10 flowers, 2 out of every 10 are pink. Multiply the numerator and denominator by 4
B) 8
to find how many will be pink.
C) 10
2 x 4= 8
10 x 4 = 40
so 8 out of 40 flowers will be pink
D) 40
12. Aiden found that 4/12 of his trading cards are baseball cards. In simplest form, which fraction of
Aiden’s cards are baseball cards?
1)1/6
B) 2/6
C) 1/3
D) 4/3
Find the factors of numerator and denominator 4/12
4: 1,2,4
12: 1,2,3,4,6,12
2) divide Numerator and denominator by largest common factor to find simplest form
4 divides into 4 =1 4 divides into 12 =3
1/3
13. Mrs. Wojtkowski buys enough pencils to make 5 pencil bags for her children. She puts 6 pencils in
each bag. There are 2 colored pencils in each bag. What fraction of the total number of pencils are
colored pencils?
A) 1/5
There are 2 out of every6 pencils colored so, 2/6. So find the simplest form of 2/6
B) 1/3
1) Find the factors of numerator and denominator 2/6
C) 1/2
2: 1,2
D) 1/6
6: 1,2, 3,6
2) divide Numerator and denominator by largest common factor to find simplest form
2 divides into 2 =1 and 2 divides into 6 = 3 so 1/3
14. Dominic’s mother gave him a recipe for trail mix.
3/4 cereal
1/4 peanuts
3/12 almonds
1/2 raisins
Which statement about the recipe is true?
A) The amount of peanuts is greater than the amount of cereal.
B) The amount of cereal is greater than the amount of raisins.
C) The amount of cereal is equal to the amount of almonds
D) The amount of cereal is less than the amount of almonds.
1) cross multiply the denominator with the numerator and the numerator with the
denominator to find which statement is true.
3/4 x 1/2 = 4 x 1 = 4 almonds and 2 x 3 = 6 for cereal
15. Jessica uses 1/4 cup of butter and 1/3 cup of sugar in a cupcake recipe. Which statement correctly
compares the amounts of butter and sugar Jessica uses in this recipe?
A) 1/3 <1/4
B) 1/3 >1/4
C) 1/3 = 1/4
D) 1/4 > 1/3
16. Gabby is making Banana bread. She mixes 1/2 cup of milk, 1/8 cup of water, and 1/3 cup of butter.
Which list shows the ingredients from least to greatest amount?
A) 1/8, 1/3, 1/2
B) 1/8, 1/2, 1/3
C) 1/2, 1/3, 1/8
D) 1/3, 1/8, 1/2
17. Samantha is making necklaces. She has 1/3 yard of pink ribbon, 3/4 yard of purple ribbon and 7/8
yard of yellow ribbon. Which list shows the order of ribbon lengths from greatest to least?
A) 1/3, 3/4, 7/8
*** You can use a 1/2 as a benchmark. Numerator is a half of denominator
B) 7/8, 1/3, 3/4
4/8 =1/2 and 2/4 =1/2
7/8 and 3/4 are bigger than 1/2 because
C) 1/3, 7/8, 3/4
7/8 is 3 parts more than a 4/8, and 3/4 is one part more than 2/4
D) 7/8, 3/4, 1/3
1/3 is smaller than ½ so it is the smallest. 7/8>3/4>1/3
*** Or you can use cross multiplication with ½ as a benchmark
1/3 is smaller than 1/2 , but you can cross multiply 3/4 and 7/8 to find which is greater,
cross multiply the denominator with the numerator and the numerator with the
denominator.
So 4 x 7 = 28
and
24
3 x 8 =24
28
3/4
<
7/8
*** Or you can find the common denominator for all three fractions
1) Find common multiples for denominators 3,4 and 8
3: 3,6,9,12,15,18,21,24
4: 4,8,12,16,20,24
8: 8,16,24
2) Multiply the numerator and denominator by the same number so that 24
1/3 X ?/? = ?/24
so 1/3 X 8/8 = 8/24
24-8=16
3/4 X ?/?= ?/24
so 3/4 x 6/6= 18/24
24-18=6
7/8 X ?/?= ?/24
so 7/8 x 3/3 = 21/24
24-21 =3
Now list them in order from greatest to least 7/8, 3/4,1/3 ( the greatest number is the one whose
numerator is closest to the number of the denominator)
18. Kenny is doing his homework. He spends 7/8 hour on math homework and 1/4 hour on reading
homework. Which is the common denominator for 7/8 and 1/4?
A) 1
B) 2
1) Find common multiple for denominators 8 and 4
8: 1, 2, 4, 8
4: 4,8,12,16
C) 5
D) 8
19. The Pleasant Valley school bus number 124 is driving Kasandra, Anthony, and Alexa to Pleasant
Valley Intermediate School. Kasandra lives 1/4 mile from PVI, Anthony lives 1/3 mile from PVI, and Alexa
lives 5/8 mile form PVI. Which shows the fractions in order from least to greatest?
A) 5/8, 1/3, 1/4
B) 1/4, 1/3, 5/8
C) 5/8, 1/4, 1/3
D) 1/3, 1/4, 5/8
20. Atticus bought 1/2 pound of fudge and 3/4 pound of peanut brittle at the West End Fair. Which
statement correctly compares the amount of snacks he bought?
A) 1/2 > 3/4
B) 3/4 <1/2
C) 3/4 = 1/2
D) 3/4 > 1/2
1) cross multiply the denominator with the numerator and the numerator with the
denominator
so 2 x 3 = 6 and 1 x 4 = 4 so
4
1/2
6
<
3/4
21. Samara rode her bike 4/5 mile to Audrey’s house. Mia rode the same distance to Audrey’s house.
Which shows how far Mia rode?
A) 2/5
1) multiply the 4/5s numerator and denominator by 2 to get the equivalent fraction
B) 4/10
4 x 2 = 8 and 5 x 2 = 10 so 8/10
C) 8/10
D) 20/8
22. Sean arranges his cards in boxes. Each box has 12 cards, and 2/3 of the cards are Baseball cards.
What other fraction can represent the part of cards that are baseball cards?
A) 1/3
1) multiply the 2/3 numerator and denominator by 4 to get the equivalent fraction
B) 4/9
Since there are 12 cards total you want to find the equivalent fraction of the 2/3
C) 6/12
with 12 as the denominator. So multiply the numerator and denominator by 4
D) 8/12
2/3 X ?/? = ? ?/12
2/3 x 4/4 = 8 /12
23. Braden and Seth walked around the Pleasant Valley Track. Braden walked 7/10 of the distance in an
hour. Seth walked 3/6 of the distance in an hour. Which statement correctly compares the fractions?
A) 7/10 < 3/6
B) 3/6 > 7/10
C) 7/10=3/6
D) 3/6< 7/10
1) cross multiply the denominator with the numerator and the numerator with the
denominator
so 6 x 7 = 42
and
30
3 x 10 = 30
42
3/6
<
7/10
24. Mike ran for 2/5 mile in gym class and then he ran 1/2 mile at basketball practice. How can he write
2/5 and 1/2 as a pair of fractions with a common denominator
A) 1/10 and 3/10
B) 4/10 and 5/10
C) 4/10 and 2/4
D) 3/6 and 1/2
1) Find common multiple for denominators 5 and 2
5: 1,5,10
2: 1,2,4,6,8,10
2) multiply the numerator and denominator by the same number so that 10
is the common denominator
2/5 X ?/? = ?/10
2/5 x 2/2 = 4/10
1/2 X ?/? = ? 10
1/2 x 5/5 = 5/10
25. Ryan has completed 5/8 of his Science project. Ian has completed 1/2 of his Science project. Which
statement correctly compares the fractions?
A) 1/2 > 5/8
1) cross multiply the denominator with the numerator and the numerator with the
B) 5/8 > 1/2
denominator
C) 1/2 = 5/8
so 8 x 1=8
D) 5/8 < 1/2
and 5 x 2 = 10
10
5/8
8
>
1/2
Or You can also use the benchmark 1/2 for eighths, which would be half of the denominator of 8
which would be 4. so 4/8. So, 1/2 = 4/8 thus 5/8 is bigger than 1/2