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Math Problems
Grade 6
Multiply fractions: word problems
Charlotte had
1
3
\frac{1}{3}
3
1
of a pound of blueberries. Charlotte let her friend Franco eat
2
3
\frac{2}{3}
3
2
of the blueberries. How many pounds of blueberries did Franco eat?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Lillian had
1
2
\frac{1}{2}
2
1
of an apple pie. She gave
1
2
\frac{1}{2}
2
1
of what she had to her friend Heather. What fraction of the whole pie did Heather get?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
of the pie
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Yesterday, Ava's Snack Shack went through
1
4
\frac{1}{4}
4
1
of a bottle of ketchup. If they used
1
2
\frac{1}{2}
2
1
as much mustard as ketchup, how many bottles of mustard did they go through?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bottles
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Of the cakes at Alexandra's Bakery,
1
3
\frac{1}{3}
3
1
have chocolate frosting. Of the cakes with chocolate frosting,
3
5
\frac{3}{5}
5
3
have raspberry filling. What fraction of the cakes at Alexandra's Bakery have both chocolate frosting and raspberry filling?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
\_
_
of the cakes
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On Wednesday the farmers at the Marshall Farm picked
1
5
\frac{1}{5}
5
1
of a barrel of tomatoes. Thursday, the farmers picked
1
5
\frac{1}{5}
5
1
as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
barrels
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Sally operates an orange juice stand. On Monday she used
1
2
\frac{1}{2}
2
1
of a bag of oranges. On Tuesday she used
2
3
\frac{2}{3}
3
2
as many oranges as on Monday. How many bags of oranges did Sally use on Tuesday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
bags
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Brennan operates a hot dog stand. On Wednesday he used
1
4
\frac{1}{4}
4
1
of a bag of hot dog buns. On Thursday he used
1
2
\frac{1}{2}
2
1
as many hot dog buns as on Wednesday. How many bags of hot dog buns did Brennan use on Thursday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
bags
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At Francesca's Restaurant,
1
2
\frac{1}{2}
2
1
of the dishes on the menu are vegetarian. Of the vegetarian dishes,
1
2
\frac{1}{2}
2
1
are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the dishes
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Brennan picked
1
8
\frac{1}{8}
8
1
of a pound of strawberries. That afternoon, Brennan's sister ate
4
5
\frac{4}{5}
5
4
of the strawberries. How many pounds of strawberries did Brennan's sister eat?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Yesterday, Zack's Doughnut Shop sold
1
3
\frac{1}{3}
3
1
as many chocolate doughnuts as cinnamon doughnuts. If they sold
2
5
\frac{2}{5}
5
2
of a tray of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ trays
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William and Tommy are collecting clothes for a clothing drive. Tommy collected
5
8
\frac{5}{8}
8
5
as many clothes as William did. If William collected
2
3
\frac{2}{3}
3
2
of a bag of clothes, how many bags of clothes did Tommy collect?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bags
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The cattle at the Wayne Farm are fed
1
5
\frac{1}{5}
5
1
of a bale of hay each day. The horses are fed
1
3
\frac{1}{3}
3
1
as much hay as the cattle. How many bales of hay are the horses fed each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bales of hay
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At the Washington Aquarium,
1
2
\frac{1}{2}
2
1
of the animals are mammals. Of the mammals,
1
3
\frac{1}{3}
3
1
are dolphins. What fraction of the animals at the Washington Aquarium are dolphins?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the animals
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At Union High School,
1
2
\frac{1}{2}
2
1
of the students play an instrument. Of the students who play an instrument,
1
6
\frac{1}{6}
6
1
play a string instrument. What fraction of the students at Union High School play a string instrument?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the students
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Anna went to the candy store and bought
1
2
\frac{1}{2}
2
1
of a pound of candy. If
2
3
\frac{2}{3}
3
2
of Anna's candy was chocolate, how many pounds of chocolate candy did Anna buy?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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At the Franklin Zoo,
4
5
\frac{4}{5}
5
4
of the animals are primates. Of the primates,
5
6
\frac{5}{6}
6
5
are monkeys. What fraction of the animals at the Franklin Zoo are monkeys?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the animals
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On Friday night, Marvin ate a pizza for dinner and had
3
4
\frac{3}{4}
4
3
of the pizza left over. On Saturday, he ate
1
2
\frac{1}{2}
2
1
of what was left. How much of the pizza did Marvin eat on Saturday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
of the pizza
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Lee High School is holding a fundraiser and plans to use
1
6
\frac{1}{6}
6
1
of the money collected to build a new library. Of the money directed towards building the new library,
2
3
\frac{2}{3}
3
2
will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the money
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Last week, Damon's Fruit Stand sold
4
5
\frac{4}{5}
5
4
of a box of kiwis. Down the road, Julie's Fruit Stand sold
3
4
\frac{3}{4}
4
3
as many boxes of kiwis as Damon's did. How many boxes of kiwis did Julie's Fruit Stand sell?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
boxes
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The elephants at the Pike Zoo are fed
1
5
\frac{1}{5}
5
1
of a barrel of corn each day. The buffalo are fed
1
8
\frac{1}{8}
8
1
as much corn as the elephants. How many barrels of corn are the buffalo fed each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ barrels
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Of the students in Andrew's class,
1
2
\frac{1}{2}
2
1
have a pet cat. Of the students who have a cat,
4
5
\frac{4}{5}
5
4
also have a dog. What fraction of the students in Andrew's class have both a cat and a dog?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ of the students
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According to sales statistics at a local newspaper and a local magazine,
8
9
\frac{8}{9}
9
8
of the newspaper's new subscribers renewed their subscriptions, compared to
5
7
\frac{5}{7}
7
5
of the magazine's new subscribers. Which publication had a greater fraction of new subscribers renew their subscriptions?
\newline
Choices:
\newline
(A)newspaper
\newline
(B)magazine
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Randolph Repertory Theater Company sold out
2
9
\frac{2}{9}
9
2
of the performances it held. Sullivan Shakespeare Company sold out
7
8
\frac{7}{8}
8
7
of the performances it put on. Which theater company sold out a greater fraction of its performances?
\newline
Choices:
\newline
(A) Randolph Repertory Theater Company
\newline
(B) Sullivan Shakespeare Company
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Recently,
1
3
\frac{1}{3}
3
1
of the items sold at Dustin's Sporting Goods were baseball caps. At Gabriel's Sports,
7
8
\frac{7}{8}
8
7
of the items sold were baseball caps. Which store sold a greater fraction of baseball caps?
\newline
Choices:
\newline
(A)Dustin's Sporting Goods
\newline
(B)Gabriel's Sports
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On Sunday,
3
5
\frac{3}{5}
5
3
of the dogs seen in the park were on leashes. On Wednesday,
1
6
\frac{1}{6}
6
1
of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?
\newline
Choices:
\newline
(A)Sunday
\newline
(B)Wednesday
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A supermarket found that
1
2
\frac{1}{2}
2
1
of customers bought vegetables and
1
3
\frac{1}{3}
3
1
of customers bought fruit. Which purchase was made by a greater fraction of customers?
\newline
Choices:
\newline
(A) vegetables
\newline
(B) fruit
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Last week, Polly's Swimwear sold
4
7
\frac{4}{7}
7
4
of its bathing suits in stock. Edmond's Sun Wear sold
4
9
\frac{4}{9}
9
4
of its bathing suits in stock. Which store sold a greater fraction of the bathing suits in stock?
\newline
Choices:
\newline
(A) Polly's Swimwear
\newline
(B) Edmond's Sun Wear
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Ann owns
2
7
\frac{2}{7}
7
2
of the gas stations in Jasper. In Warren, Estelle owns
1
2
\frac{1}{2}
2
1
of the gas stations. Who owns a greater fraction of gas stations in her area?
\newline
Choices:
\newline
(A)Ann
\newline
(B)Estelle
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So far, Celine has learned
3
7
\frac{3}{7}
7
3
of her spelling words. Her sister Erin has learned
1
8
\frac{1}{8}
8
1
of her spelling words. Who has learned a greater fraction of her spelling words, Celine or Erin?
\newline
Choices:
\newline
(A)Celine
\newline
(B)Erin
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During study hall, Mitchell finished
2
9
\frac{2}{9}
9
2
of the problems from his math homework. Carter did
1
3
\frac{1}{3}
3
1
of the problems from his math homework. Who did a greater fraction of his math problems?
\newline
Choices:
\newline
(A) Mitchell
\newline
(B) Carter
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At Jaden's Pizza,
1
4
\frac{1}{4}
4
1
of the orders included pepperoni pizza. At New York Pizza,
4
5
\frac{4}{5}
5
4
of the orders included pepperoni pizza. At which restaurant did pepperoni pizzas make up a greater fraction of the pizzas sold?
\newline
Choices:
\newline
(A) Jaden's Pizza
\newline
(B) New York Pizza
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Of the students in Emma's class,
4
5
\frac{4}{5}
5
4
have a pet cat. Of the students who have a cat,
1
2
\frac{1}{2}
2
1
also have a dog. What fraction of the students in Emma's class have both a cat and a dog?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ of the students
Get tutor help
Of the songs in Dana's music library,
1
3
\frac{1}{3}
3
1
are rock songs. Of the rock songs,
1
2
\frac{1}{2}
2
1
feature a guitar solo. What fraction of the songs in Dana's music library are rock songs that feature a guitar solo?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the songs
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In an examination,
15
%
15 \%
15%
of the candidate passed.
24
24
24
of these were girls. The remaining
3
5
\frac{3}{5}
5
3
of the candidates who passed were boys.
90
90
90
boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?
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The park has
5
12
\frac{5}{12}
12
5
of its space a green space, if
1
5
\frac{1}{5}
5
1
of that green space is used, how much of the park is used?
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In Mila's class,
1
/
3
1 / 3
1/3
of her class has a brother. Of the students who have a brother,
1
/
2
1 / 2
1/2
of them also have a sister. What fraction of the students in Mila's class have a brother and a sister? Write in lowest terms and show your work.
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Last month, Baldwin finished
3
7
\frac{3}{7}
7
3
of his to-do list items, while Jason completed
7
9
\frac{7}{9}
9
7
of his to-do list items. Who finished a greater fraction of his to-do list last month?
\newline
A)Baldwin
\newline
B)Jason
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Yesterday,
3
5
\frac{3}{5}
5
3
of the flights at Logan County Airport were delayed. At Cass County Airport,
2
9
\frac{2}{9}
9
2
of the flights were delayed. Which airport had a higher fraction of delayed flights?
\newline
A)Logan County Airport
\newline
B)Cass County Airport
\newline
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Perry Repertory Theater Company sold out
1
10
\frac{1}{10}
10
1
of the performances it held. Hancock Shakespeare Company sold out
5
7
\frac{5}{7}
7
5
of the performances it put on. Which theater company sold out a greater fraction of its performances?
\newline
A)Perry Repertory Theater Company
\newline
B)Hancock Shakespeare Company
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On Sunday,
1
/
6
1/6
1/6
of the dogs seen in the park were on leashes. On Wednesday,
3
/
7
3/7
3/7
of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?
\newline
A)Sunday
\newline
B)Wednesday
\newline
Get tutor help
