Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

Which ratio is equivalent to 3:4?

Back

6:8

Front

What number should go in the blank to make the ratios equivalent? 7 : 2 and 21 : ___

Back

6

Front

If you have 3 pennies, 4 nickels, and 5 dimes, what is the ratio of nickels to total number of coins?

Back

4:12

Front

What number should go in the blank to make the ratios equivalent? 3 : 8 and __ : 48

Back

18

Front

How many ways can a ratio be written?

Back

A ratio can be written in 3 ways: as a fraction (3/4), with a colon (3:4), or with the word 'to' (3 to 4).

Front

What is the total number of coins if you have 3 pennies, 4 nickels, and 5 dimes?

Back

The total number of coins is 3 + 4 + 5 = 12.

Front

If the ratio of cats to dogs is 2:3, how many cats are there if there are 15 dogs?

Back

There are 10 cats. (2/3 = x/15, so x = 10.)

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified. For example, 4:6 and 2:3 are equivalent because both simplify to 2:3.