Ratios, Rates & 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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (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 or $3 per item.

Front

If there are 10 dimes and 8 quarters, what is the ratio of dimes to quarters?

Back

The ratio of dimes to quarters is 10:8, which simplifies to 5:4.

Front

What is the price per item if 9 candy bars cost $13.50?

Back

The price per candy bar is $1.50.

Front

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

Back

Add the parts of the ratio together. For example, in the ratio 3:2, the total is 3 + 2 = 5.

Front

What is the ratio of blue marbles to red marbles if there are 3 blue and 7 red?

Back

The ratio of blue marbles to red marbles is 3:7.

Front

If a worker earns $9 per hour, how much will they earn in 3 hours?

Back

They will earn $27 in 3 hours.

Front

What is the combined ratio of blue and yellow marbles to red marbles if there are 3 blue, 2 yellow, and 7 red?

Back

The combined ratio of blue and yellow marbles to red marbles is 5:7.