Rates, Ratios, proportions and percents

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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., 2:3), using the word 'to' (e.g., 2 to 3), or as a fraction (e.g., 2/3).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one. For example, 60 miles per hour.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 4/5 = (4 ÷ 5) × 100 = 80%.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same number. For example, 2:3 is equivalent to 4:6.

Front

What is the ratio of boys to girls if there are 8 boys and 12 girls?

Back

The ratio of boys to girls is 8:12, which simplifies to 2:3.

Front

What does the ratio 8:23 represent in a pet store with 8 dogs, 12 turtles, and 3 cats?

Back

The ratio 8:23 compares the number of dogs to the total number of animals (8 dogs + 12 turtles + 3 cats = 23 total animals).

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 10:15, divide both by 5 to get 2:3.

Front

What is the percent equivalent of 3/4?

Back

To convert 3/4 to a percent, divide 3 by 4 and multiply by 100: (3 ÷ 4) × 100 = 75%.