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 used are different. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportion.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent. For example, for the ratios a:b and c:d, if a*d = b*c, then the ratios are equivalent.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the numbers in the ratio are reduced to their smallest whole number values. For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the ratio of 4:1 expressed as a fraction?

Back

The ratio 4:1 can be expressed as the fraction 4/1 or simply 4.

Front

Are the ratios 14:18 and 7:9 equivalent?

Back

Yes, the ratios 14:18 and 7:9 are equivalent because both can be simplified to the same ratio.

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 3:5, you can multiply both terms by 2 to get 6:10.

Front

What is one equivalent ratio for 15:35?

Back

One equivalent ratio for 15:35 is 3:7, which is found by dividing both terms by 5.

Front

Are the ratios 4:5 and 8:10 equivalent?

Back

Yes, the ratios 4:5 and 8:10 are equivalent because 8:10 can be simplified to 4:5.

Front

How can division be used to find equivalent ratios?

Back

Division can be used to find equivalent ratios by dividing both terms of the ratio by the same number. For example, to find an equivalent ratio for 15:30, divide both terms by 3 to get 5:10.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 2:3 is equivalent to the fraction 2/3.