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 numbers, meaning their cross-products are equal.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

If the ratio is 2:3, then for 9 cups of flour, you need 6 cups of sugar (2/3 of 9).

Front

What is an equivalent ratio to 1:4?

Back

An equivalent ratio to 1:4 is 2:8.

Front

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

Back

To find a missing value in a proportional relationship, set up a proportion and cross-multiply to solve for the unknown.

Front

What is the ratio of boys to girls if there are 10 boys and 15 girls?

Back

The ratio of boys to girls is 10:15, which simplifies to 2:3.

Front

If there are 4 red marbles and 6 blue marbles, what is the ratio of red to total marbles?

Back

The ratio of red to total marbles is 4:10, which simplifies to 2:5.

Front

What is the ratio of 12 to 16 in simplest form?

Back

The ratio of 12 to 16 in simplest form is 3:4.