REDUCING RATIOS TO LOWEST TERMS WORKSHEET

Simplify each of the following ratios.

Problem 1 :

12 to 48

Solution

Problem 2 :

81 : 27

Solution

Problem 3 :

4 to 24 to 64

Solution

Problem 4 :

21 : 42 : 14

Solution

Set up a ratio for each of the following and reduce to lowest terms. Eliminate decimals and fractions by using equivalent ratios.

Problem 5 :

13 dimes to 8 nickels

Solution

Problem 6 :

10 days to 4 weeks

Solution

Problem 7 :

1.25 to 8

Solution

Problem 8 :

0.8 to 2.3 to 4.1

Solution

Problem 9 :

12 to 35

Solution

Problem 10 :

58 to 34 to 43

Solution

Problem 11 :

2 23 to 3 15

Solution

Problem 12 :

There are 60 red and blue balls in a ball pit. 21 of them are blue.  What fraction of the balls are red?

Represent this as a simplified fraction.

Solution

Problem 13 :

Nancy and Lisa played 20 sets of tennis. Nancy won 12 of them. Write the ratio of Nancy’s wins to the total number of sets in simplest form.

Solution

Answer Key

1)  1 : 4.

2)  3 : 1

3)  1 : 6 : 16

4)  3 : 6 : 2

5)   13 : 4

6)   5 : 14

7)  125 : 8

8)  8 : 23 : 41

9)   5 : 6.

10)  15:18:32

11)  5 : 6.

12)  20 : 13

13)  3 : 5

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