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 can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if you can simplify them to the same fraction or if you can cross-multiply and get the same product.

Front

Are the ratios 7 to 18 and 1 to 2 equivalent?

Back

No

Front

Are the ratios 1:2 and 4:7 equivalent?

Back

No

Front

Find one equivalent ratio for 15:30 using division.

Back

5:10

Front

Which ratio is equivalent to 4:12?

Back

1:3

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes

Front

What is the simplest form of the ratio 8:12?

Back

2:3

Front

If a ratio is 3:5, what is an equivalent ratio if both terms are multiplied by 2?

Back

6:10

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its simplest form by dividing both terms by their greatest common divisor.