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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

Front

What is a proportion?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares two different quantities with different units of measure and has a denominator of 1.

Front

How do you find a unit rate from a ratio?

Back

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

Front

What does it mean to distribute evenly?

Back

To distribute evenly means to share or divide something equally among a number of groups or items.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

How can you express the ratio 10:15 in simplest form?

Back

The simplest form of the ratio 10:15 is 2:3.

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 50 out of 200 students prefer soccer, what is the ratio of students who prefer soccer to those surveyed?

Back

The ratio is 1:4.