Equivalent Ratios

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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 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, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

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How do you find an equivalent ratio using division?

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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, for the ratio 10:20, dividing both terms by 10 gives 1:2.

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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 have no common factors other than 1. For example, the simplest form of 8:12 is 2:3.

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What is a common factor?

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A common factor is a number that divides two or more numbers without leaving a remainder. For example, the common factors of 8 and 12 are 1, 2, and 4.

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If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

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To find the number of boys, set up the ratio: 3/4 = boys/28. Cross-multiply to find boys = (3 * 28) / 4 = 21 boys.

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What is the relationship between equivalent ratios?

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Equivalent ratios represent the same proportion or relationship between two quantities, meaning they can be used interchangeably in calculations.

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How can you check if two ratios are equivalent?

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To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for ratios a:b and c:d, check if a*d = b*c.

Front

What is the ratio of 15 to 30 in simplest form?

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The ratio of 15 to 30 in simplest form is 1:2, since both numbers can be divided by 15.

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If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 9 cups of flour?

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To find the amount of sugar needed, set up the ratio: 2/3 = sugar/9. Cross-multiply to find sugar = (2 * 9) / 3 = 6 cups of sugar.