Ratios

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: using a colon (e.g., 3:5), as a fraction (e.g., 3/5), or with the word 'to' (e.g., 3 to 5).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 4 apples?

Back

There are 6 oranges. (If 2 apples correspond to 3 oranges, then 4 apples correspond to 6 oranges.)

Front

What is the ratio of 10 to 5?

Back

The ratio of 10 to 5 is 2:1.

Front

How do you find the total number of parts in a ratio?

Back

Add the numbers in the ratio together. For example, in the ratio 3:5, the total number of parts is 3 + 5 = 8.

Front

What is the ratio of 5 pears to 11 total fruits?

Back

The ratio of pears to all fruit is 5:11.

Front

If a recipe calls for a ratio of 1 cup of sugar to 4 cups of flour, how much sugar is needed for 12 cups of flour?

Back

You need 3 cups of sugar. (12 cups of flour ÷ 4 = 3 cups of sugar.)

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of the whole to the entire whole, such as the ratio of apples to all fruits in a basket.