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Word Problems
100

What does it mean to decompose a fraction?

To separate parts of a whole.

100

30/100 - 2/10

1/10

100

2/12 x 3

1/2

100

1 - 2/8

3/4

100

Jaime has a brownie pan that holds 12 brownies. She fills 4/12 of the pan with chocolate chip batter. Then she fills 6/12 of the pan with fudge batter. What is the fraction of the pan is filled?

5/6

200

True or False. There is only one way to decompose a fraction.

False

200

2 and 1/3 + 1 and 1/3

3 and 2/3

200

3 x 4/6

2

200

6/10 + 8/10

1 and 2/5
200

Paul bought 4 sub sandwiches. Each sandwich had one-fifth pound of roast beef. How much was used for all of the sandwiches?

4/5 of a pound

300

Explain how you would decompose 3/5.

1/5 + 1/5 + 1/5

300

2 and 5/6 - 1 and 2/3

1 and 1/6

300

2 x 1/3

2

300

2/6 x 4

1 and 1/3

300

Catherine walks five-tenths of a mile to school each morning. How far does she walk all together in 5 days?

2 and 1/2 mile

400

Explain how you would decompose 5/10

1/10 + 1/10 + 1/10 + 1/10 + 1/10

400

1 and 5/12 - 7/12

5/6

400

One serving of candy is 2/8 of the whole bag. John ate 3 servings after dinner. What fraction of the bag did he eat?

3/4

400

2/6 x 8 

2 and 2/3

400

Stephanie walked three-eighths of a mile. Melody walked 2 times this distance. How far did Melody walk?

3/4 of a mile.

500

Explain 3 different ways you can decompose 6/8.

3/8 + 3/8

4/8 + 2/8

5/8 + 1/8

500

2/3 + 3/4

1 and 5/12

500

Aaron ran 4/10 of a mile. Jessica ran 4 times this distance. How far did Jessica run?

1 and 3/5 of a mile

500

4/5 x 8

6 and 1/4

500

Catherine and her friends used 1 and 1/8 cups of flour to make cupcakes and another 2 and 5/8 cups of flour to make a small cake. How many cups of flour did they use altogether?

3 and 3/4 cup of flour.