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, the ratios 1:2 and 2:4 are equivalent.

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How do you determine if two ratios are equivalent?

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Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the numbers in the ratio are reduced to their smallest whole numbers. For example, the ratio 4:8 can be simplified to 1:2.

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How can you find an equivalent ratio using multiplication?

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To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, multiplying the ratio 2:3 by 2 gives 4:6.

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

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

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is an equivalent ratio if you double the ingredients?

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An equivalent ratio when doubling the ingredients would be 4 cups of flour to 6 cups of sugar.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator. For example, the ratio 3:4 can be expressed as the fraction 3/4.

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, place the first term of the ratio as the numerator and the second term as the denominator. For example, the ratio 5:2 becomes the fraction 5/2.

Front

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

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The total number of students is 8 + 14 = 22, so the ratio of boys to total students is 8:22.

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How can you use division to find an equivalent ratio?

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To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, dividing the ratio 10:20 by 10 gives 1:2.