Ratio Tables

Front

What is a ratio?

Back

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 create a ratio table?

Back

A ratio table is created by listing pairs of numbers that maintain a constant ratio. Start with a known ratio and multiply or divide to find other equivalent ratios.

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What does it mean to complete a ratio table?

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Completing a ratio table means filling in missing values in the table while maintaining the same ratio between the quantities.

Front

If the ratio of apples to oranges is 3:4, how many oranges are there if there are 9 apples?

Back

If there are 9 apples, there are 12 oranges. (9 apples / 3 = 3; 3 * 4 = 12 oranges)

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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 (e.g., 1:2 is equivalent to 2:4).

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How can you find missing values in a ratio table?

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You can find missing values by using multiplication or division to maintain the same ratio. For example, if the ratio is 2:3 and you know one value, you can calculate the other.

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What is the purpose of a ratio table?

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The purpose of a ratio table is to organize and compare ratios, making it easier to see relationships and solve problems involving proportional reasoning.

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If a ratio table shows 4:5, what is the ratio of 8 to ?

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The ratio of 8 to 10. (8/4 = 2; 2 * 5 = 10)

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What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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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, the ratio 8:12 simplifies to 2:3.