Ratios, Rates 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 factor (GCF).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or cost per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

How do you find a unit rate from a given rate?

Back

To find a unit rate, divide the first quantity by the second quantity.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If a recipe calls for 2 cups of sugar for every 5 cups of flour, how much sugar is needed for 15 cups of flour?

Back

6 cups of sugar.

Front

If 3 apples cost $1.50, what is the cost of 1 apple?

Back

$0.50 per apple.

Front

If a car travels 180 miles on 6 gallons of gas, what is the miles per gallon?

Back

30 miles per gallon.