Ratios and Equivalent Ratios

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 write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

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

Back

There are 16 red apples. (4:3 means for every 4 red apples, there are 3 green apples. If there are 12 green apples, then 12/3 * 4 = 16 red apples.)

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

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

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of 15 to 25 in simplest form?

Back

The simplest form of the ratio 15:25 is 3:5.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the quantities.

Front

How can you represent the ratio of 10 to 5?

Back

The ratio of 10 to 5 can be represented as 10:5, 10/5, or 10 to 5.