Add and Subtract Mixed Numbers
Subtraction with Renaming
Find the Rule
Problem Solving
Algebra • Use Properties
of Addition
100

2 3/4 + 3 3/10

6 1/20

100

8 − 6 1/9

1 8/9

100

 1 9/10, 1 7/10, ____, 1 3/10, 1 1/10

Subtract 1/5 or 2/10

100

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?

3 11/16 pounds

100

(2/7 + 1/3) + 2/3

1 2/7

200

5 17/18 − 2 2/3

3 5/18

200

9 1/4 − 3 2/3

5 7/12

200

2 5/12, 2 1/6, 1 11/12, ____, 1 5/12

Subtract 1/4 
200

Mattie’s house consists of two stories and an attic. The first floor is 8 5/6 feet tall, the second floor is 8 1/2 feet tall, and the entire house is 24 1/3 feet tall. How tall is the attic?

7 feet

200

(2 5/12 + 4 1/4) + 1/4

6 11/12

300

5 3/7 − 2 1/5

3 8/35

300

Carlene bought 8 1/16 yards of ribbon to decorate a shirt. She only used 5 1/2 yards. How much ribbon does she have left over?

2 9/16 yards

300

Find the first three terms:


Rule: start at 1/2 , add 1/3

1/2, 5/6, 1 1/6, 1 1/2

300

Della bought a tree seedling that was 2 1/ 4 feet tall. During the first year, it grew 1 1/6 feet. After two years, it was 5 feet tall. How much did the seedling grow during the second year?

1 7/12 feet

300

Elizabeth rode her bike 6 1/2 miles from her house to the library and then another 2 2/5 miles to her friend Milo’s house. If Carson’s house is 2 1/2 miles beyond Milo’s house, how far would she travel from her house to Carson’s house?

11 2/5 miles

400

Jacobi bought 7 1/2 pounds of meatballs. He decided to cook 1 1/4 pounds and freeze the rest. How many pounds did he freeze?

6 1/4 pounds

400

During his first vet visit, Pedro’s puppy weighed 6 1/8 pounds. On his second visit, he weighed 9 1/16 pounds. How much weight did he gain between visits?

2 15/16 pounds

400

Jarett’s puppy weighed 3 3/4 ounces at birth. At one week old, the puppy weighed 5 1/8 ounces. At two weeks old, the puppy weighed 6 1/2 ounces. If the weight gain continues in this pattern, how much will the puppy weigh at three weeks old?

7 7/8 ounces 

400

Caitlin has 4 3/4 pounds of clay. She uses 1 1/10 pounds to make a cup, and another 2 pounds to make a jar. How many pounds are left?

1 13/20 pounds of clay


400

Hassan made a vegetable salad with 2 3/8 pounds of tomatoes, 1 1/4 pounds of asparagus, and 2 7/8  pounds of potatoes. How many pounds of vegetables did he use altogether?

6 1/2 pounds 

500

Jill walked 8 1/8 miles to a park and then 7 2/5 miles home. How many miles did she walk?

15 21/40 miles

500

Natalia picked 7 1/6 bushels of apples today and 4 5/8 bushels yesterday. How many more bushels did she pick today

2 13/24 bushels

500

A baker started out with 12 cups of flour. She had 9 1/4 cups of flour left after the first batch of batter she made. She had 6 1/2 cups of flour left after the second batch of batter she made. If she makes two more batches of batter, how many cups of flour will be left?

1 cup of flour

500

Thelma spent 1/6 of her weekly allowance on dog toys, 1/4 on a dog collar, and 1/3 on dog food. What fraction of her weekly allowance is left?

1/4 

500

Letitia has 7 1/6 yards of yellow ribbon, 5 1/4 yards of orange ribbon, and 5 1/6 yards of brown ribbon. How much ribbon does she have altogether? 

17 7/12 yards