Understand Ratios and Fractions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or in words (e.g., '3 to 4').

Front

What is a fraction?

Back

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio has no common factors other than 1. For example, the ratio 4:8 simplifies to 1:2.

Front

What is the ratio of 6 red circles to 4 blue circles?

Back

The ratio of red circles to blue circles is 6:4, which simplifies to 3:2.

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How do you find the equivalent ratio?

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To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and both represent a comparison of quantities.

Front

If there are 8 ears and 2 tails, what is the ratio of ears to tails?

Back

The ratio of ears to tails is 8:2, which simplifies to 4:1.

Front

What fraction represents the ratio of 5 apples to 6 oranges?

Back