Ratios and Unit Rates

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 unit rate?

Back

A unit rate is a rate in which the denominator is 1, showing how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the cost per unit.

Front

If Ernie travels 195 miles in 3 hours, what is his speed in miles per hour?

Back

To find the speed, divide the distance by time: 195 miles ÷ 3 hours = 65 miles per hour.

Front

What is the ratio of dimes to nickels if there are 10 dimes and 5 nickels?

Back

The ratio of dimes to nickels is 10:5, which simplifies to 2:1.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both parts of the ratio by their GCF.

Front

What is the price per gallon if 13 gallons cost $46.80?

Back

To find the price per gallon, divide the total cost by the number of gallons: $46.80 ÷ 13 = $3.60.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if a unit rate is 1?

Back

If a unit rate is 1, it means that for every one unit of the first quantity, there is one unit of the second quantity.