Ratio 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 does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities, meaning they can be simplified to the same fraction.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that has the same value when simplified, even if the numbers are different.

Front

If the ratio of boys to girls is 3:4, what is the total number of parts?

Back

The total number of parts is 3 + 4 = 7 parts.

Front

How do you find a missing value in a proportional relationship?

Back

You can use cross-multiplication to find a missing value in a proportional relationship.

Front

What is the simplest form of the ratio 6:14?

Back

The simplest form of the ratio 6:14 is 3:7.

Front

If a recipe calls for a ratio of 2:3, how much of each ingredient is needed for 10 total parts?

Back

You would need 4 parts of the first ingredient and 6 parts of the second ingredient.

Front

What is the ratio of 5 to 10 in simplest form?

Back

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

Front

How do you convert a ratio into a fraction?

Back

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