Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms 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

Cross-multiply the terms and solve for the unknown variable.

Front

What is the ratio of 4 red apples to 3 green apples?

Back

4:3

Front

If 18 ounces of juice is mixed with 3 cups of water, what is the ratio of juice to water in simplest form?

Back

6:1

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 express a ratio as a fraction?

Back

A ratio of a:b can be expressed as the fraction a/b.

Front

What is the relationship of 2 oranges to 6 fruits?

Back

The ratio is 2:6, which simplifies to 1:3.

Front

If x/4 = 15, what is the value of x?

Back

x = 60.