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

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

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 ratio of 2 eggs to 3 cups of flour?

Back

The ratio is 2:3.

Front

If a recipe calls for 2:3 eggs to flour, how many eggs are needed for 3 batches?

Back

6 eggs are needed for 3 batches.

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, they are equivalent because both simplify to 2:3.

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, they are not equivalent because 6:12 simplifies to 1:2.

Front

What is the missing value in the ratio 2:6 = ?:3?

Back

The missing value is 1.

Front

What is the common factor to simplify the ratio 2:6?

Back

The common factor is 2.

Front

How do you find equivalent ratios?

Back

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