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 2:3, multiply both terms by 2 to get 4:6.

Front

Is the ratio 6:3 equivalent to 2:1?

Back

Yes, the ratio 6:3 simplifies to 2:1, making them equivalent.

Front

What is the simplest form of the ratio 15:35?

Back

The simplest form of the ratio 15:35 is 3:7.

Front

Are the ratios 6:3 and 3:6 equivalent?

Back

No, 6:3 and 3:6 are not equivalent ratios.

Front

Find an equivalent ratio for 2:7 by multiplying both terms by 7.

Back

14:49 is an equivalent ratio for 2:7.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified, meaning they represent the same proportion.

Front

If a ratio is 4:5, what is an equivalent ratio if both terms are multiplied by 3?

Back

An equivalent ratio is 12:15.

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.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.