Mixed Number Addition
Mixed Number Subtraction
Decompose It!
Word Problems
CHALLENGE
100

3 2/5 + 1 4/5

5 1/5

100

What is the difference?
6 4/7 − 2 1/7

4 3/7

100

Write 5 as a sum of fractions with denominator 4.

4/4 + 4/4 + 4/4 + 4/4 + 4/4

100

Landon ran 2 3/4 miles on Saturday and 3 1/4 miles on Sunday.
How many miles did he run in all?

6 miles

100

What mixed number is equivalent to:
6/9 + 6/9 + 6/9 + 4/9

2 4/9

200

2 3/8 + 4 1/8

6 4/8 OR 6 1/2

200

9 2/3 − 4 1/3

5 1/3

200

Which expression shows a way to decompose 3 2/6?

6/6 + 6/6 + 6/6 + 2/6

200

Ava read 4 5/6 chapters on Monday and 2 2/6 chapters on Tuesday.
How many chapters did she read in total?

7 1/6 chapters

200

What is the sum?
3 5/12 + 2 11/12

6 4/12

300

5 6/10 + 2 7/10

8 3/10

300

What is the difference?
8 5/8 − 3 7/8

4 6/8

300

Write 2 5/8 as a sum of fractions.

8/8 + 8/8 + 5/8

300

Noah biked 5 7/10 miles.
Emma biked 3 4/10 miles.
How many more miles did Noah bike than Emma?

2 3/10 miles

300

What is the difference?
7 2/3 − 3 5/6

3 5/6

400

What is the sum?
7 3/6 + 2 5/6

10 2/6 OR 10 1/3

400

What is the difference?
10 1/5 − 6 4/5

3 2/5

400

Which expression equals 4 3/5?

5/5 + 5/5 + 5/5 + 5/5 + 3/5

400

Mia used 1 2/5 cups of flour.
Harper used 2 1/5 cups.
Olivia used 3 3/5 cups.
How many cups did they use altogether?

7 1/5 cups

400

Write an equation to show and solve:
Add 4 1/8 and 2 6/8

4 1/8 + 2 6/8 = 7

500

4 9/12 + 3 8/12

8 5/12

500

What is the difference?
12 3/4 − 5 2/4

7 1/4

500

Decompose 6 1/3 into a sum of fractions.

3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 1/3

500

The goal was 6 miles.
Ethan swam 3 1/2 miles.
Lucas swam 3 3/4 miles.
How many miles did they swim in total?
Did they reach their goal? By how much?

7 1/4 miles total. They exceeded their goal by 1 1/4 miles.

500

Lily ran 3 6/10 miles in the morning and 4 9/10 miles in the afternoon.
How many miles did she run altogether?

8 5/10 OR 8 1/2