Ratios and Proportions

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 simplify a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a rate per one unit.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you express the ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of boys to girls is 5:7.

Front

What is the first step to solve a problem involving ratios?

Back

Identify the quantities being compared and express them as a ratio.

Front

If 72 pies are sold in 9 days, how many pies are sold per day?

Back

8 pies per day.

Front

What is the ratio of total players to boys if a team has 16 girls and 8 boys?

Back

The ratio of total players to boys is 3:1.