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 simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 20:25, divide both by 5 to get 4:5.

Front

What is the ratio of 5 to 4 expressed as a fraction?

Back

The ratio of 5 to 4 can be expressed as the fraction 5/4.

Front

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

Back

The equivalent ratio is 6:10.

Front

What is the greatest common factor (GCF) of 20 and 25?

Back

The GCF of 20 and 25 is 5.

Front

How can you find an equivalent ratio using multiplication?

Back

To find an equivalent ratio, multiply both terms of the original ratio by the same non-zero number. For example, for the ratio 2:3, multiplying both by 4 gives 8:12.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.

Front

If a wire is cut in the ratio 9:6, how do you find the lengths of the pieces?

Back

First, add the parts of the ratio (9 + 6 = 15). Then, divide the total length by the sum of the parts to find the length of one part. Multiply by each part of the ratio to find the lengths.

Front

What is the total number of parts in the ratio 7:5?

Back

The total number of parts in the ratio 7:5 is 7 + 5 = 12.

Front

If there are 48 total cattle and the ratio of Holsteins to Jerseys is 7:5, how many Holsteins are there?

Back

To find the number of Holsteins, first find the total parts (12). Then, divide 48 by 12 to get 4. Multiply by 7 (the Holstein part) to get 28 Holsteins.