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?

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

Front

What is the first step to solve for a missing number in an equivalent ratio?

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The first step is to set up a proportion, which is an equation that states that two ratios are equal.

Front

If the ratio is 2:3 and you need to find the equivalent ratio for 4, what is the missing number?

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The missing number is 6, because 2:3 is equivalent to 4:6.

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What does it mean if two ratios are not equivalent?

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If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities. For example, 1:2 is not equivalent to 2:3.

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How can you check if two ratios are equivalent?

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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 equivalent ratio of 5:10?

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The equivalent ratio of 5:10 is 1:2, because both terms can be divided by 5.

Front

If you have the ratio 3:5, what is the equivalent ratio when both terms are multiplied by 3?

Back

The equivalent ratio is 9:15.

Front

What is a real-life example of equivalent ratios?

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A real-life example of equivalent ratios is a recipe. If a recipe calls for 2 cups of flour to 3 cups of sugar, using 4 cups of flour would require 6 cups of sugar to maintain the same ratio.

Front

If the ratio of boys to girls in a class is 4:5, how many girls are there if there are 20 boys?

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There are 25 girls, because the ratio 4:5 means for every 4 boys, there are 5 girls. If there are 20 boys, you can set up the proportion 4/5 = 20/x and solve for x.