Equivalent Ratios

Front

What are equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, meaning they can be simplified to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply and see if the products are equal, or simplify both ratios to their lowest terms and compare.

Front

What is the equivalent ratio of 1 : 2 when both terms are multiplied by 3?

Back

3 : 6 is the equivalent ratio of 1 : 2 when both terms are multiplied by 3.

Front

Are the ratios 10 : 15 and 2 : 3 equivalent?

Back

Yes, 10 : 15 and 2 : 3 are equivalent ratios because both simplify to 2 : 3.

Front

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

Back

The simplest form of the ratio 8 : 12 is 2 : 3.

Front

If a ratio is 5 : 10, what is one equivalent ratio?

Back

One equivalent ratio for 5 : 10 is 1 : 2.

Front

What is the relationship between the ratios 4 : 8 and 1 : 2?

Back

The ratios 4 : 8 and 1 : 2 are equivalent because 4 : 8 simplifies to 1 : 2.

Front

Can the ratio 3 : 4 be expressed as an equivalent ratio with a denominator of 12?

Back

Yes, the equivalent ratio of 3 : 4 with a denominator of 12 is 9 : 12.

Front

What is an example of a ratio that is not equivalent to 6 : 9?

Back

An example of a ratio that is not equivalent to 6 : 9 is 5 : 9.

Front

How do you find an equivalent ratio for 7 : 3?

Back

To find an equivalent ratio for 7 : 3, multiply both terms by the same number, for example, 2 to get 14 : 6.