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, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

What is the ratio of boys to girls if there are 8 boys and 14 girls?

Back

The ratio of boys to girls is 8:14, which can be simplified to 4:7.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

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

Back

25:20 is equivalent to 5:4.

Front

What is the simplest form of the ratio 24:36?

Back

The simplest form of the ratio 24:36 is 2:3.

Front

If there are 10 apples and 15 oranges, what is the ratio of apples to total fruits?

Back

The ratio of apples to total fruits (10 apples + 15 oranges = 25 fruits) is 10:25, which simplifies to 2:5.

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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.

Front

How can you express the ratio 5:6 as a fraction?

Back

The ratio 5:6 can be expressed as the fraction 5/6.

Front

What is the ratio of walnuts to peanuts in a mixture of 5 walnuts, 4 hazelnuts, and 10 peanuts?

Back

The ratio of walnuts to peanuts is 5:10, which simplifies to 1:2.