Simplify Fractions
Word Problems
100

Solve and simplify.

4/10 + 4/10 + 4/10 = ?

6/5 OR 1 1/6

100

Solve.

Find the area of a rectangle that has one side as 5/8 and the other side as 7/5.  Write your answer in simplest form.

5/8 x 7/5 = 35/40 ÷ 5/5 = 7/8 square units

200

Solve and simplify.

1/2 x 2 = ?

1

200

Solve. 

At lunchtime, 5/6 of the students at a school buy juice. Of those students 3/4 buy orange juice. What fraction of the students buy orange juice? Write your answer in simplest form.

5/6 x 3/4 = 15/24 

15/24 ÷ 3/3 = 5/8 of the students

300

Solve and simplify.

5/6 x 8/7 = ?

20/21

300

Solve and simplify. 

You practice the drums for 3/4 hour two times each day.  How long will you practice the drums in one week?

(3/4 x 2) x 7 =6/4 x 7 = 42/4 

42/4 ÷ 2/2 = 21/2 hours OR 10 1/2 hours

400

Solve and simplify.

3/4 x 7/9 = ?

7/12

400

Solve and simplify. 

A recipe calls for 2 1/4 teaspoons of baking powder per serving.  You have 9 teaspoons of baking powder.  You want to make 4 1/4 servings.  Do you have enough baking powder?

2 1/4 x 4 1/4 = 9/4 x 17/4 = 153/16 = 9 9/16

No

500

Solve and simplify.

2 1/20 x 4 1/6 = ?

8 3/4

500

Solve and simplify.

In a pack of 36 trading cards, 1/4 of them are fire animals, 1/6 of them are water animals, and the rest of them are grass animals. How many more cards are grass animals than fire animals?

1/4 x 36 = 9

1/6 x36 = 6

9+6 = 15

36-15 = 21

21-9 = 12 cards

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