Writing Ratios & Identifying 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 can a ratio be expressed?

Back

A ratio can be expressed in several ways: as a fraction (3/4), with a colon (3:4), as '3 to 4', but not as an equation (3=4).

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that has the same value when simplified, such as 2:4 and 1:2.

Front

Are the ratios 1:2 and 2:4 equivalent?

Back

Yes, 1:2 and 2:4 are equivalent ratios.

Front

What does the ratio 2:6 represent in terms of fruit?

Back

The ratio 2:6 represents the relationship of 2 oranges to a total of 6 fruits.

Front

If a recipe calls for a ratio of 3:5 of sugar to flour, what is the equivalent ratio if you double the amounts?

Back

The equivalent ratio would be 6:10.

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 9 to 3?

Back

The ratio of 9 to 3 is 3:1.

Front

If 4 apples cost $2, how much do 8 apples cost?

Back

8 apples would cost $4, maintaining the ratio of cost to quantity.

Front

What is the relationship between the ratios 3:5 and 6:10?

Back

The ratios 3:5 and 6:10 are equivalent because both can be simplified to the same value.