Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or 'a:b'.

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How do you write a ratio of two quantities?

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You can write a ratio by placing the two quantities next to each other, separated by a colon (:) or the word 'to'. For example, the ratio of 3 apples to 2 oranges can be written as 3:2 or 3 to 2.

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What is an equivalent ratio?

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Equivalent ratios are ratios that express 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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If a recipe calls for 4 cups of flour and 2 cups of sugar, what is the ratio of sugar to flour?

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The ratio of sugar to flour is 2:4, which simplifies to 1:2.

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How can you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same number. For example, if you have the ratio 2:3, multiplying both terms by 2 gives you 4:6.

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What is the ratio of red toy cars to all toy cars if there are 3 red, 2 blue, and 5 green toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify 8:12, divide both by 4 to get 2:3.

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What is the ratio of chocolate chips to flour in a recipe that uses 2 cups of chocolate chips and 3 cups of flour?

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The ratio of chocolate chips to flour is 2:3.

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If there are 6 stars and 4 squares, what is the ratio of stars to squares?

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The ratio of stars to squares is 6:4, which simplifies to 3:2.

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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.