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Math Problems
Grade 7
Understanding fractions: word problems
Pedro and Devin are cooking their favorite breakfast, scrambled eggs with canned ham. Devin opens the can and cuts the ham into
2
2
2
equal pieces. Pedro eats
1
1
1
piece with his eggs.
\newline
What fraction of the ham does Pedro eats with his eggs?
\newline
____ /____
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Steven's family is moving, so he needs to pack the dishes. Dishes break easily so he must wrap them up. He cuts a sheet of bubble wrap into
6
6
6
equal pieces. Steven uses
4
4
4
pieces to pack salad bowls.
\newline
What fraction of the sheet of bubble wrap does Steven use to pack salad bowls?
\newline
____ /____
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Greg is going to a picnic with his soccer team to celebrate the end of the season. He decides to bring a long sub sandwich to share. He cuts the sandwich into
2
2
2
equal pieces so it will fit in his picnic basket. His teammates have asked for different toppings, so Greg adds cheese to
1
1
1
of the pieces.
\newline
What fraction of the sandwich has cheese?
\newline
____ /____
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Heather is taking an art class over the weekend. Everyone in the class has to copy a famous painting. To make copying easier, Heather divides the painting into
4
4
4
equal parts. Heather copies
2
2
2
parts on Saturday.
\newline
What fraction of the painting does Heather copy on Saturday?
\newline
____ /____
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Anita has built a long shelf for her collection of textbooks. Before putting her books on the shelf, she divides the shelf into
5
5
5
equal sections. Anita fills
1
1
1
section of the shelf with science books.
\newline
What fraction of the shelf does Anita fill with science books?
\newline
____ /____
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Heather wants her room to be more colorful. So, she is painting one of the walls. She divides the wall into
3
3
3
equal parts. Heather paints
1
1
1
part her favorite color.
\newline
What fraction of the wall does Heather paint her favorite color?
\newline
____ /____
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Jack is making rice pudding for his family. He divides the rice pudding into
6
6
6
equal-sized servings. He adds a spoonful of whipped cream to
2
2
2
of the servings.
\newline
What fraction of the rice pudding has whipped cream on top?
\newline
____ /____
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Kenneth loves tomatoes and plants them in his garden every spring. Before Kenneth plants the tomatoes, he divides his garden into
8
8
8
equal parts. Kenneth plants tomatoes in
1
1
1
part of the garden.
\newline
What fraction of the garden does Kenneth plant with tomatoes?
\newline
____ /____
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Tim is using a long wooden board to fix a broken fence. He saws the board into
7
7
7
equal pieces. Tim uses
1
1
1
piece to fix the front of the fence.
\newline
What fraction of the board does Tim use to fix the front of the fence?
\newline
____ /____
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Addison is taking her dog Bingo to the lake for a picnic. Addison packs a freshly baked loaf of bread, which she cuts into
8
8
8
equal pieces. Addison spreads peanut butter on
3
3
3
pieces of bread to eat.
\newline
What fraction of the loaf of bread does Addison spread with peanut butter to eat?
\newline
____ /____
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Clarence's service project is to put a fresh coat of paint on the north wall of the school building. That's a lot of work, so he asks some friends to help. To split up the work, Clarence divides the wall into
6
6
6
equal sections. Clarence paints
2
2
2
sections himself.
\newline
What fraction of the wall does Clarence paint?
\newline
____ /____
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In art class, Alexandra is making a flag. She divides her flag into
4
4
4
equal parts to experiment with different designs. Alexandra paints
3
3
3
of the parts.
\newline
What fraction of the flag does Alexandra paint?
\newline
____ /____
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Joy's class wants to give some money to the children's hospital in town. The class is planning to earn the money with a bake sale. So, Joy has baked banana bread to sell. Joy cuts the banana bread into
8
8
8
equal pieces. Joy's classmate Devin buys
1
1
1
piece.
\newline
What fraction of the banana bread does Devin buy?
\newline
____ /____
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Jenny is making a round rug for the floor in her bedroom. Jenny uses
6
6
6
equal-sized pieces of cloth to make her rug. Jenny uses
1
1
1
piece of colorful cloth. The rest of the pieces are plain white cloth.
\newline
What fraction of the rug is colorful?
\newline
____ /____
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Jeffrey's mom loves to cook. For her birthday, Jeffrey surprises her with a new container for her cooking spoons. The round container is divided into
3
3
3
equal sections. Jeffrey fills
2
2
2
sections with wooden spoons.
\newline
What fraction of the container does Jeffrey fill with wooden spoons?
\newline
____ /____
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Eli is making a target for the beanbag toss at his school's Fall Fun-Run and Carnival. The target is a short round basket divided evenly into
8
8
8
sections. The player wins a prize for each section the beanbag lands in. There are
2
2
2
sections that win the player a teddy bear.
\newline
What fraction of the target wins the player a teddy bear?
\newline
____ /____
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Kathleen's mother has made popcorn for family movie night. Kathleen serves herself a large bowl of popcorn and serves her brothers smaller bowls of popcorn. ＂Wait!＂ says her mother. ＂Make sure everyone gets the same amount of popcorn.＂ So, Kathleen divides the popcorn into
3
3
3
equal-sized bowls. She pours melted butter over
1
1
1
of the bowls.
\newline
What fraction of the popcorn has melted butter on it?
\newline
____ /____
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Colin and Felix are going to the beach together. They bring a beach blanket to sit on. The blanket is made of
2
2
2
equal-sized strips, each with a different color. A big wave splashes the beach and gets
1
1
1
strip of the blanket wet.
\newline
What fraction of the blanket gets wet?
\newline
____ /____
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Irma's dad is baking some delicious chocolate chip cookies. To help out, Irma cuts a stick of butter into
6
6
6
equal pieces. Irma's dad uses
4
4
4
pieces for baking cookies.
\newline
What fraction of the stick of butter does Irma's dad use for baking cookies?
\newline
____ /____
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Manuel is going on a
2
2
2
-kilometer hike with his friends. Manuel hikes for
1
1
1
kilometer before taking a break.
\newline
What fraction of the hike does Manuel complete before taking his break?
\newline
____ /____
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Mindy is a sculptor. She has a cylinder of stone with a radius of
3
m
3\,\text{m}
3
m
and a height of
2
m
2\,\text{m}
2
m
. She needs to carve out a sphere of radius
1
m
1\,\text{m}
1
m
from the cylinder. Mindy must cut away
v
3
π
m
3
\frac{v}{3}\pi\,\text{m}^{3}
3
v
π
m
3
of stone from the cylinder in order to be left with the sphere. What is the value of
v
v
v
?
\newline
◻
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Simplify the following fraction:
42
48
\frac{42}{48}
48
42
\newline
Answer:
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Simplify the following fraction:
45
48
\frac{45}{48}
48
45
\newline
Answer:
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Convert the fraction below into a decimal
\newline
2
3
\frac{2}{3}
3
2
\newline
Edit the repeating and non-repeating part of the decimal:
\newline
0.
□
□
‾
0.\square\overline{\square}
0.
□
□
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Convert the fraction below into a decimal
\newline
1
5
\frac{1}{5}
5
1
\newline
Edit the repeating and non-repeating part of the decimal:
\newline
0.
□
□
‾
0.\square\overline{\square}
0.
□
□
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Convert the fraction below into a decimal
\newline
4
5
\frac{4}{5}
5
4
\newline
Edit the repeating and non-repeating part of the decimal:
\newline
0.
□
□
‾
0.\square\overline{\square}
0.
□
□
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The expression
0.75
(
1.08
p
)
0.75(1.08 p)
0.75
(
1.08
p
)
represents the total amount Amelia paid for a jacket originally priced
p
p
p
dollars. Which changes to the original price could have resulted in this expression?
\newline
A discount of
25
%
25 \%
25%
and then
0.08
%
0.08 \%
0.08%
sales tax
\newline
A discount of
25
%
25 \%
25%
and then
108
%
108 \%
108%
sales tax
\newline
A discount of
25
%
25 \%
25%
and then
8
%
8 \%
8%
sales tax
\newline
A discount of
0.25
%
0.25 \%
0.25%
and then
108
%
108 \%
108%
sales tax
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There are
25
25
25
students in Ms. Nguyen's second-grade class. In the class election,
4
4
4
students voted for Benjamin,
12
12
12
voted for Sahil, and
9
9
9
voted for Maria. What percent of the class voted for Maria?
\newline
(Ignore the \% symbol when entering your answer. For example, if the answer is
11
%
11\%
11%
, enter
11
11
11
.)
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