Ratios and Unit Rates

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:b'.

Front

How do you simplify a ratio?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys. (3/4 = x/28, so x = 21.)

Front

What is the equivalent ratio of 2:3?

Back

Some equivalent ratios are 4:6, 6:9, and 8:12.

Front

How do you find a missing term in a ratio?

Back

Use cross-multiplication or set up a proportion to find the missing term.

Front

What is the ratio of 15 to 25 in simplest form?

Back

The simplest form of 15:25 is 3:5.

Front

If you can buy 12 apples for $3, what is the unit rate in apples per dollar?

Back

The unit rate is 4 apples per dollar.

Front

Which of the following ratios is NOT equivalent to 4:6? 8:12, 2:3, 10:15, 5:7

Back

5:7 is NOT equivalent to 4:6.

Front

What is the ratio of 18 to 24 in simplest form?

Back

The simplest form of 18:24 is 3:4.