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 equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

Front

What is the ratio of boys to girls if there are 21 boys and 6 girls?

Back

The ratio of boys to girls is 21:6, which simplifies to 7:2.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the equivalent ratio of flour to sugar?

Back

The equivalent ratio of flour to sugar is 2:3.

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.

Front

If 15 apples cost $3, how much do 30 apples cost?

Back

30 apples cost $6, as the ratio of apples to cost is equivalent.

Front

What is the ratio of 5 to 10?

Back

The ratio of 5 to 10 is 1:2, which is its simplest form.

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.

Front

What is the ratio of 12 to 16 in simplest form?

Back

The ratio of 12 to 16 in simplest form is 3:4.

Front

If a wire is cut in the ratio 9:6, what are the lengths of the two pieces if the wire is 60 inches long?

Back

The lengths of the two pieces are 36 inches and 24 inches.