Equivalent Ratios

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What is an equivalent ratio?

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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?

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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, you can multiply both terms by 2 to get 4:6.

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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 two numbers are reduced to their smallest whole numbers. For example, the simplest form of 8:12 is 2:3.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

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How can you check if two ratios are equivalent?

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To check if two ratios are equivalent, you can cross-multiply the terms. If the cross products are equal, the ratios are equivalent.

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What is the ratio of 10:12 in simplest form?

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The ratio 10:12 in simplest form is 5:6.

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If a ratio is 1:3, what is an equivalent ratio with a numerator of 2?

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An equivalent ratio with a numerator of 2 would be 2:6.

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What is the equivalent ratio of 4:12?

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The equivalent ratio of 4:12 is 1:3.

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How do you convert a ratio to a percentage?

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To convert a ratio to a percentage, divide the first term by the sum of both terms and then multiply by 100. For example, for the ratio 1:3, (1/(1+3)) * 100 = 25%.

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What is the ratio of 5:1 in simplest form?

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The ratio 5:1 is already in its simplest form.