Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of 4 apples to 2 bananas?

Back

The ratio is 2:1.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

What is the cost per item if 8 slices of pizza cost $12?

Back

The cost per slice is $1.50.

Front

In a class of 20 students, if 8 are boys, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 8:12 or simplified to 2:3.

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

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by writing the first quantity as the numerator and the second quantity as the denominator.