ratios, rates and unit rates

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 to b' or a:b.

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together. For example, in a ratio of 3:2, the total is 3 + 2 = 5.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if 50 miles are driven in 2 hours, the unit rate is 50 ÷ 2 = 25 miles per hour.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Front

If my father paid $25.50 for 5 movie tickets, what is the unit rate per ticket?

Back

The unit rate is $5.10 per ticket.

Front

Are 120 calories in 2 servings and 360 calories in 6 servings equivalent in calories per serving?

Back

Yes, they are equivalent.

Front

If 18 vocab words are learned in 2 hours, how many words are learned per hour?

Back

9 words per hour.

Front

What is the ratio of students who prefer tacos to those who prefer pizza if 180 students prefer tacos?

Back

If 180 students prefer tacos in a ratio of 3 to 2, then 120 students prefer pizza.

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.