Ratios, Rates and Proportions

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: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 quantities with different units, such as speed (miles per hour).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a:b = c:d.

Front

If the ratio of blue marbles to red marbles is 3:2, how many blue marbles are there if there are 10 red marbles?

Back

There are 15 blue marbles.

Front

In a recipe, if the ratio of sugar to flour is 1:4, how much sugar is needed for 8 cups of flour?

Back

2 cups of sugar are needed.

Front

What is the formula to find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Front

If John reads 135 pages in 1.5 hours, what is his reading rate in pages per hour?

Back

John's reading rate is 90 pages per hour.

Front

How do you find the missing value in a proportion?

Back

Cross-multiply the known values and then divide to find the missing value.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 50 miles per hour.