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

A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., \(\frac{2}{3}\)), or with the word 'to' (e.g., 2 to 3).

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., 1:2 is equivalent to 2:4).

Front

How do you simplify a ratio?

Back

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

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

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

Back

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

Front

What is the first step to find an equivalent ratio?

Back

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

Front

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

Back

The ratio of boys to girls is 1:2.

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add the parts of the ratio together. For example, in the ratio 2:3, the total is 2 + 3 = 5.

Front

What is the ratio of 15 to 30 in simplest form?

Back

The ratio of 15 to 30 in simplest form is 1:2.