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.

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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, to find an equivalent ratio for 2:3, multiply both terms by 2 to get 4:6.

Front

What is the ratio of 12 to 20 simplified?

Back

The simplified ratio of 12 to 20 is 3:5.

Front

Which of the following ratios is equivalent to 5:4? 25:20, 10:12, 4:5, 15:8

Back

25:20 is equivalent to 5:4.

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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 quantities. For example, 1:2 is not equivalent to 2:3.

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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 simplified form of the ratio 20:25?

Back

The simplified form of the ratio 20:25 is 4:5.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, what is the equivalent ratio if you double the sugar?

Back

If you double the sugar, the new ratio becomes 4:3.

Front

What is the ratio of 15 to 5 simplified?

Back

The simplified ratio of 15 to 5 is 3:1.

Front

If 10 apples cost $5, how much would 20 apples cost?

Back

20 apples would cost $10, which is equivalent to the ratio of 1:2 for cost to quantity.