Ratios and Equivalent Ratios

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

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

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 2:4 and 1:2).

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How do you find equivalent ratios?

Back

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

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the simplest form of the ratio 32:16?

Back

The simplest form of the ratio 32:16 is 2:1.

Front

If the ratio of tomatoes to cucumbers is 4:1 and there are 14 cucumbers, how many tomatoes are there?

Back

There are 56 tomatoes.

Front

What is the ratio of girls to boys in a class with 32 girls and 16 boys?

Back

The ratio of girls to boys is 2:1.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, place the first quantity over the second quantity (e.g., for a ratio of 3:4, write it as 3/4).