Ratios and proportions

Front

What is a ratio?

Back

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

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

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

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

What is the ratio of 4 to 8?

Back

The ratio of 4 to 8 is 1:2 when simplified.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, use the ratio: (2/3) * 6 = 4 cups of sugar.

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

How can you express the ratio 5:10 in simplest form?

Back

The simplest form of the ratio 5:10 is 1:2.

Front

What is an example of a non-equivalent ratio to 1/2?

Back

An example of a non-equivalent ratio to 1/2 is 6/10.