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

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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

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 simplest form of the ratio 40:60?

Back

The simplest form of the ratio 40:60 is 2:3.

Front

If 5/15 = 25/n, what is the value of n?

Back

n = 75.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first number as the numerator and the second number as the denominator.

Front

What is the ratio of 18 ounces to 3 cups in simplest form?

Back

The ratio is 6 to 1.

Front

What is the ratio of 35:14 in simplest form?

Back

The simplest form of the ratio 35:14 is 5:2.