Ratios and Proportions

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 proportion?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if 120 customers visit in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is the unit rate of 150 miles in 5 gallons?

Back

30 miles per gallon (150 miles ÷ 5 gallons = 30 miles/gallon).

Front

If Ella has 5 balloons and Taylor has 7, what is the ratio of Ella's balloons to Taylor's?

Back

The ratio is 5:7.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

How do you write a ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio is 4:3.

Front

What is the first step in solving a proportion?

Back

Cross-multiply the two ratios to find a common value.

Front

If a recipe calls for 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.