Ratios & Unit Rate

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

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 'per' something.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you spend $15 for 3 pounds of apples, the unit rate is $15 ÷ 3 = $5 per pound.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares two parts of a whole. For example, in a class of 10 boys and 5 girls, the part-to-part ratio of boys to girls is 10:5.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares one part to the total whole. For example, if there are 10 boys in a class of 20 students, the part-to-whole ratio of boys to the whole class is 10:20.

Front

If a car travels 300 miles in 5 hours, what is its unit rate in miles per hour?

Back

60 miles per hour.

Front

If you buy 4 notebooks for $8, what is the unit cost per notebook?

Back

$2 per notebook.

Front

What is the better deal: 10 pounds of rice for $20 or 5 pounds for $12?

Back

10 pounds of rice for $20 is the better deal, as it costs $2 per pound compared to $2.40 per pound for the 5 pounds.

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 greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the unit rate of 45 miles in 3 hours?

Back

15 miles per hour.