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 in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

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 formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can rearrange this to find the missing value.

Front

If Jose swims 3 laps in 2 minutes, how many laps can he swim in 18 minutes?

Back

He can swim 27 laps in 18 minutes.

Front

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

Back

The simplest form is 6 to 1.

Front

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

Back

n = 75.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you check if two ratios are equivalent?

Back

You can cross-multiply and see if the products are equal.