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 write a ratio?

Back

Ratios can be written in three ways: as a fraction (e.g., 4/3), with a colon (e.g., 4:3), or with the word 'to' (e.g., 4 to 3).

Front

What is a proportion?

Back

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 ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of boys to girls is 5:7.

Front

If the ratio of red apples to green apples is 4:3, how many red apples are there if there are 12 green apples?

Back

If the ratio is 4:3, then for every 3 green apples, there are 4 red apples. Therefore, if there are 12 green apples, there are 16 red apples.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor.

Front

What is the simplified form of the ratio 35:14?

Back

The simplified form of the ratio 35:14 is 5:2.

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

If the ratio is 2:3, then for every 3 parts of flour, there are 2 parts of sugar. For 6 cups of flour, you need 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.