Rates, Ratios, 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.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find a unit rate?

Back

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

Front

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

Back

60 miles per hour.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

How can you express the ratio of 4 apples to 2 oranges?

Back

The ratio can be expressed as 4:2 or simplified to 2:1.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

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

Back

The ratio of flour to sugar is 3:2.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units.

Front

How do you simplify the ratio 10:15?

Back

Divide both numbers by their greatest common divisor, which is 5, to get 2:3.