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?

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Ratios can be written in three ways: using the word 'to' (e.g., 2 to 3), using a colon (e.g., 2:3), or as a fraction (e.g., 2/3).

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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 (e.g., 2:3 is equivalent to 4:6).

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

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The ratio of sugar to flour is 2:3.

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In a class of 30 students, if 12 are boys, what is the ratio of boys to girls?

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The ratio of boys to girls is 12:18, which simplifies to 2:3.

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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 divisor (GCD).

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If there are 5 apples and 10 oranges, what is the ratio of apples to oranges?

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The ratio of apples to oranges is 1:2.

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

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

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If a garden has a ratio of 4:1 for tomatoes to cucumbers, how many tomato plants are there if there are 14 cucumber plants?

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There are 56 tomato plants.

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What is the ratio of stars to squares if there are 3 stars and 4 squares?

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The ratio of stars to squares is 3:4.