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, the ratios 1:2 and 2:4 are equivalent.

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

What is the ratio of 6th graders to 7th graders if the ratio is 4:1 and there are 8 7th graders?

Back

There are 32 6th graders.

Front

What number should go in the blank to make the ratios equivalent? 6 : 5 and 54 : __

Back

45.

Front

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

Back

The ratio is 4:12.

Front

Which ratio is equivalent to 3:4?

Back

6:8.

Front

What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

Back

The ratio is 4:10 or simplified to 2:5.

Front

What is the first step to simplify a ratio?

Back

The first step to simplify a ratio is to find the greatest common factor (GCF) of the two numbers.

Front

How can you express the ratio 12:16 in simplest form?

Back

Divide both terms by their GCF, which is 4, to get 3:4.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.