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Math Coach Amy
Amy Ferguson Moncure

7th Grade Math · Unit 2

Fractions Review

Analyze each word problem and write the fraction problem that solves it. The set up is the most important part.

Jump to section:

Key Ideas Add Subtract Multiply Divide Mixed
What to Remember

Write the fraction problem

Read the story and decide which operation it uses.

Write that fraction problem before you compute. The set up is the most important part.

Give the value in simplest form. If the value is greater than 1, write a mixed number.

Addition

Joining amounts, or finding how much there is after an increase, is addition.

12 + 14

Subtraction

How much is left, how much longer, or the other part of a whole is subtraction.

58 − 18

1 − 25

Multiplication

A fraction of a fraction is multiplication.

13 × 12

Division

How many of a smaller amount fit into a larger amount is division.

12 ÷ 18

Easy 1

Adding

These stories join two amounts. Write an addition problem.

Example
A baker uses 38 cup of sugar for the crust and 14 cup of sugar for the filling. How much sugar is used in all?

The amounts are joined, so add.

Write the fraction problem.

38 + 14

Answer: 58 cup

1
A trail is 25 mile through the woods and 15 mile along the creek. How long is the whole trail?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

25 + 15

Answer: 35 mile

2
Maya poured 12 liter of water and then poured 16 liter more. How much water did she pour?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

12 + 16

Answer: 23 liter

3
A package has 512 yard of blue ribbon and 16 yard of green ribbon. How much ribbon is in the package?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

512 + 16

Answer: 712 yard

4
Leo practiced piano for 34 hour in the morning and 18 hour after school. How long did he practice?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

34 + 18

Answer: 78 hour

5
A snack mix uses 23 cup of oats and 14 cup of raisins. How many cups is that altogether?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

23 + 14

Answer: 1112 cup

6
The class used 310 of a pack of paper on Monday and 25 of a pack on Tuesday. What fraction of the pack did they use in those two days?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

310 + 25

Answer: 710 of the pack

7
A plant grew 13 inch in April and 512 inch in May. How much did it grow in those two months?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

13 + 512

Answer: 34 inch

8
Nora walked 78 mile to the library and then 12 mile to the park. How far did she walk?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

78 + 12

118

Answer: 138 miles

9
A jug had 29 liter of juice. Sam added 13 liter of juice. How much juice is in the jug now?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

29 + 13

Answer: 59 liter

10
The band rehearsed for 56 hour on Thursday and 38 hour on Friday. How long did the band rehearse on those two days?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

56 + 38

2924

Answer: 1524 hours

Easy 2

Subtracting

These stories compare, take away, or find the rest of a whole. Write a subtraction problem.

Example
A board is 78 foot long. A shelf is 12 foot long. How much longer is the board than the shelf?

The question asks how much longer, so subtract.

Write the fraction problem.

78 − 12

Answer: 38 foot

1
A bottle holds 34 liter of juice. Maya drinks 18 liter. How much juice is left in the bottle?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

34 − 18

Answer: 58 liter

2
In a box of muffins, 56 are blueberry. What fraction of the muffins are not blueberry?
Show Answer

The other part of the whole is 1 minus this fraction.

Write the fraction problem.

1 − 56

Answer: 16 of the muffins

3
An orange fish is 45 foot long. A blue fish is 12 foot long. How much longer is the orange fish?
Show Answer

The question asks how much longer, so subtract.

Write the fraction problem.

45 − 12

Answer: 310 foot

4
A rope was 1112 yard long. Sam cut off 13 yard. How much rope is left?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

1112 − 13

Answer: 712 yard

5
In a row of seats, 35 are filled. What fraction of the seats are empty?
Show Answer

The other part of the whole is 1 minus this fraction.

Write the fraction problem.

1 − 35

Answer: 25 of the seats

6
A pumpkin weighed 910 kilogram. It lost 14 kilogram of water. What does the pumpkin weigh now?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

910 − 14

Answer: 1320 kilogram

7
Lena has 58 of a pizza. She gives 14 of the pizza to her brother. How much of the pizza does Lena still have?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

58 − 14

Answer: 38 of the pizza

8
A path is 79 mile long. The first 13 mile is shaded. How long is the rest of the path?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

79 − 13

Answer: 49 mile

9
Of the paint in a can, 23 has been used. What fraction of the paint is still in the can?
Show Answer

The other part of the whole is 1 minus this fraction.

Write the fraction problem.

1 − 23

Answer: 13 of the paint

10
A red ribbon is 34 yard long. A blue ribbon is 25 yard long. How much longer is the red ribbon?
Show Answer

The question asks how much longer, so subtract.

Write the fraction problem.

34 − 25

Answer: 720 yard

Easy 3

Multiplying

These stories take a fraction of a fraction. Write a multiplication problem.

Example
Of the books on a shelf, 23 are fiction. Of those fiction books, 34 are mysteries. What fraction of the books on the shelf are mysteries?

A fraction of a fraction is multiplication.

Write the fraction problem.

23 × 34

Answer: 12 of the books

1
Of the students in a club, 35 play a sport. Of those students, 12 play soccer. What fraction of the club plays soccer?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

35 × 12

Answer: 310 of the club

2
Of the flowers in a garden, 47 are roses. Of those roses, 23 are red. What fraction of the flowers are red roses?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

47 × 23

Answer: 821 of the flowers

3
Of the tiles in a mosaic, 58 are blue. Of those blue tiles, 25 have a gold edge. What fraction of the tiles are blue with a gold edge?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

58 × 25

Answer: 14 of the tiles

4
Of the sandwiches on a tray, 12 are vegetarian. Of those sandwiches, 34 are cheese. What fraction of the sandwiches are cheese?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

12 × 34

Answer: 38 of the sandwiches

5
Of the songs on a playlist, 56 were added this year. Of those songs, 25 are pop. What fraction of the playlist is pop songs added this year?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

56 × 25

Answer: 13 of the playlist

6
Of a pizza, 58 is left. Nora eats 23 of the leftover pizza. What fraction of the whole pizza does she eat?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

58 × 23

Answer: 512 of the pizza

7
Of the apples in a bin, 710 are green. Of those green apples, 12 are tart. What fraction of the apples are tart and green?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

710 × 12

Answer: 720 of the apples

8
Of a bolt of fabric, 25 is cotton. Of that cotton, 38 is striped. What fraction of the bolt is striped cotton?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

25 × 38

Answer: 320 of the bolt

9
Of the students in a class, 59 walk to school. Of those students, 35 also walk home. What fraction of the class walks both ways?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

59 × 35

Answer: 13 of the class

10
Of the stamps in a book, 38 are from Europe. Of those stamps, 34 are from France. What fraction of the stamps are from France?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

38 × 34

Answer: 932 of the stamps

Easy 4

Dividing

These stories ask how many smaller amounts fit. Write a division problem.

Example
Priya has 34 yard of ribbon. Each bow uses 18 yard of ribbon. How many bows can she make?

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

34 ÷ 18

Answer: 6 bows

1
Eli has 56 pound of clay. Each small pot uses 112 pound of clay. How many pots can he make?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

56 ÷ 112

Answer: 10 pots

2
A trail crew has 78 gallon of water. Each hiker drinks 18 gallon. How many hikers can have a full drink?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

78 ÷ 18

Answer: 7 hikers

3
Nora has 23 cup of oats. Each granola bar uses 19 cup of oats. How many granola bars can she make?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

23 ÷ 19

Answer: 6 granola bars

4
A spool has 45 meter of wire. Each bracelet uses 110 meter of wire. How many bracelets can be made?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

45 ÷ 110

Answer: 8 bracelets

5
Jamal has 58 of a tank of fuel. Each lawn he mows uses 116 of a tank. How many lawns can he mow?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

58 ÷ 116

Answer: 10 lawns

6
A baker has 35 kilogram of butter. Each pastry uses 110 kilogram of butter. How many pastries can she make?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

35 ÷ 110

Answer: 6 pastries

7
A pitcher has 710 liter of juice. Each glass holds 14 liter. How many glasses can be filled?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

710 ÷ 14

145

Answer: 245 glasses

8
A garden bed holds 56 of a bag of soil. Each planter uses 14 of a bag. How many planters can be filled?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

56 ÷ 14

103

Answer: 313 planters

9
Mia has 38 pound of beads. Each necklace uses 116 pound of beads. How many necklaces can she make?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

38 ÷ 116

Answer: 6 necklaces

10
A runner has 910 hour left before practice ends. Each lap takes 16 hour. How many laps can she finish?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

910 ÷ 16

275

Answer: 525 laps

Medium

Mixed

Choose the operation. Some stories need more than one step. Some include a fact you do not need.

Example
A bird feeder is filled three times a day. The morning fill uses 18 of a bag of seed. The afternoon fill uses 18 of a bag more than the morning fill. The whole day uses 12 of a bag. How much of the bag is used for the evening fill?

The afternoon fill is 18 of a bag more than the morning fill. The evening fill is the day's total minus the morning and the afternoon.

Write the fraction problem.

12 − (18 + 18 + 18)

Answer: 18 of a bag

1
A reading room is open for 12 hour at lunch and 13 hour after school. How long is the reading room open on that day?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

12 + 13

Answer: 56 hour

2
Of the animals in a barn, 34 are horses. Of those horses, 25 are ponies. What fraction of the animals are ponies?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

34 × 25

Answer: 310 of the animals

3
A red pencil is 56 foot long. A yellow pencil is 14 foot long. How much longer is the red pencil?
Show Answer

The question asks how much longer, so subtract.

Write the fraction problem.

56 − 14

Answer: 712 foot

4
A cook has 35 pound of cheese. Each sandwich uses 115 pound of cheese. How many sandwiches can she make?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

35 ÷ 115

Answer: 9 sandwiches

5
A kitten weighs 78 pound. That weight is 14 pound less than the average weight of the kittens in the litter. What is the average weight?
Show Answer

The kitten weighs 14 pound less than the average, so add to reach the average.

Write the fraction problem.

78 + 14

98

Answer: 118 pounds

6
Of the volunteers at a park, 38 are adults. Of the volunteers, 16 work on Saturday. What fraction of the volunteers are not adults?
Show Answer

The question asks for the other part of the whole. The Saturday fact is not used.

Write the fraction problem.

1 − 38

Answer: 58 of the volunteers

7
A rabbit weighed 34 kilogram. It gained 18 kilogram, and then it lost 16 kilogram while it was sick. What does the rabbit weigh now?
Show Answer

The weight goes up and then down, so add and then subtract.

Write the fraction problem.

34 + 18 − 16

Answer: 1724 kilogram

8
Of the strawberries on a plant, 45 were picked. A jar of jam used 12 of the picked strawberries. What fraction of the plant's strawberries went into the jar?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

45 × 12

Answer: 25 of the strawberries

9
A poster uses 25 of a sheet of paper for the title and 14 of a sheet for the picture. What fraction of a sheet is used for the title and the picture?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

25 + 14

Answer: 1320 of a sheet

10
A camper has 34 gallon of water. Each bottle holds 16 gallon. How many bottles can be filled?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

34 ÷ 16

92

Answer: 412 bottles

11
A bolt of cloth is 1112 yard long. A tailor uses 23 yard. How much cloth is left?
Show Answer

The question asks how much is left, so subtract.

Write the fraction problem.

1112 − 23

Answer: 14 yard

12
Of the riders on a bus, 23 are students. Of those students, 38 are in seventh grade. What fraction of the riders are in seventh grade?
Show Answer

A fraction of a fraction is multiplication.

Write the fraction problem.

23 × 38

Answer: 14 of the riders

13
A puppy weighed 56 kilogram. After two weeks, its weight had increased by 14 kilogram. What did the puppy weigh then?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

56 + 14

1312

Answer: 1112 kilograms

14
A painter has 45 gallon of paint. Each door takes 115 gallon. How many doors can be painted?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

45 ÷ 115

Answer: 12 doors

15
A striped fish is 56 foot long. A spotted fish is 310 foot long. How much longer is the striped fish?
Show Answer

The question asks how much longer, so subtract.

Write the fraction problem.

56 − 310

Answer: 815 foot

16
Of the muffins on a tray, 47 are banana. Of those banana muffins, 12 have walnuts. If there are 28 muffins on the tray, how many are banana muffins with walnuts?
Show Answer

A fraction of a fraction of the muffins is multiplication. Then take that fraction of 28 muffins.

Write the fraction problem.

47 × 12 × 28

27 of the muffins are banana with walnuts.

Answer: 8 muffins

17
A small tank is 212 feet long. A rock sits 78 foot from the left end. How much of the tank's length is to the right of the rock?
Show Answer

The question asks how much of the length is left, so subtract.

Write the fraction problem.

212 − 78

138

Answer: 158 feet

18
A gardener has 78 pound of seeds. Each row of the garden uses 16 pound. How many rows can be planted?
Show Answer

The question asks how many of the smaller amount fit, so divide.

Write the fraction problem.

78 ÷ 16

214

Answer: 514 rows

19
Of the books on a cart, 49 are nonfiction. Of the books, 15 are on the top shelf. What fraction of the books are fiction?
Show Answer

The question asks for the other part of the whole. The top shelf fact is not used.

Write the fraction problem.

1 − 49

Answer: 59 of the books

20
The art room is used for 512 hour before lunch and 23 hour after lunch. How long is the art room used?
Show Answer

The amounts are joined, so add.

Write the fraction problem.

512 + 23

1312

Answer: 1112 hours

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