Decomposing
Addition
Subtraction
Word Problems
100

Which fraction decomposes into the addition expression 1/5 + 1/5 + 2/5?

A. 1/5

B. 2/5

C. 3/5

D. 4/5

D

100

What is the sum of 3/7, 2/7, and 1/7? Use a model to solve. 

addition; 6/7

100

The answer in a subtraction equation

Difference

100

Timothy mowed 1/6 of the lawn. His sister Eliana mowed 4/6 of the lawn. How much of the lawn did Timothy and Eliana mow in all. Create a representation to solve.

5/6; equations, models, fraction tiles, number lines

200

To ___________ is to break apart a number into parts.

decompose

200

The answer to an addition equation

sum

200

Use a number line to find the difference of 7/8 and 3/8

the number line should have 8 partitions; starting position at 7/8 and moving 3 units to the left with an answer of 4/8 or 1/2
200

Marina used 3/12 pound of butter for her cookies and 4/12 pound of butter for carrot cake. How much butter did Marina use?

7/12; equations, models, fraction tiles, number lines

300

Which addition expressions show a decomposition of 5/8? Choose all that apply.

A. 2/8 + 2/8

B. 1/8 + 1/8 + 1/8 + 1/8

C. 1/8 + 1/8 + 2/8

D. 1/8 + 1/8 + 1/8 + 1/8 + 1/8

E. 1/8 + 2/8 + 2/8

A, D, E

300

Dionne uses 3/10 roll of tape to seal some boxes and 4/10 roll of tape for an art project. Did Dionne use more than or less than 1/2 roll of tape? Explain

Dionne used more than 1/2. 3/10 + 4/10 = 7/10 which is greater than 5/10 that is equivalent to 1/2

300

Monica has 2/5 of a glass filled with milk. She adds milk to the glass until 4/5 of the glass is filled with milk. How much milk does Monica add to the glass?

2/5

300

Abby has two pieces of yarn. One section is 33/8 feet long, and the other section is 58/8 feet long. If 47/8 of the yarn is yellow, how much of the yarn is purple?

44/8

400

Tricia has has 9/12 of a breakfast casserole left over. She puts the casserole into 3 containers. What fraction of the casserole could Tricia have put into each container?

answers may vary

400

Willow mixes 1/4 cup of sugar, 2/4 cup of flour, and 3/4 cup of salt. Willow accidentally drop 2/4 of the mixture. How much of the mixture does Willow have?

4/4

400

A water cooler at Mr. Kane's office was 8/10 full. The office workers drained 6/10 of the cooler during the day. At the end of the day more water was added and the cooler is now at 9/10 full. How much water was added at the end of the day?

7/10

400

Jerome read 1/2 page each day for 10 days. How many pages did Jerome read in all?

5 days

500

A team of 6 people participated in a relay race. Each person ran 1/4 mile. A team of 4 people runs the same distance. How far might each of the 4 people run?

1/4 + 1/4 + 2/4 + 2/4

500

Alex mows 5/8 of his yard at 10 AM, 1/8 of his yard at 2 PM, and 1/8 of his yard at 7 PM. Does Alex mow his whole yard? Explain.

No, Alex mows 7/8 which is not equal to a whole, so he did not mow his whole yard.

500

You have a container that has a capacity of 3/4 cup and another container that has a capacity of 5/4 cup. You want to measure out exactly 1 cup into a bowl. Explain how you can measure your water.

answers may vary

500

Kim has a pet snake, Squiggles, that is 7/2 feet long. When the snake is full grown, it will be about 15/2 feet long. If Squiggles grows another 3/2, about how many more feet will Kim's snake grow when it's full grown?

5/2 

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