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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the ratio of 5 to 7 expressed in simplest form?

Back

5:7 is already in simplest form.

Front

If Ella has 5 balloons and Tyler has 7 balloons, what is the ratio of Ella's balloons to Tyler's balloons?

Back

5:7

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 can be simplified to the same form.

Front

Is the ratio 4:5 equivalent to 20:25?

Back

Yes, because both can be simplified to 4:5.

Front

What is the ratio of cupcakes to cookies if there are 10 cupcakes and 60 cookies?

Back

1:6

Front

How do you find an equivalent ratio?

Back

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

Front

What is the simplest form of the ratio 30:45?

Back

2:3, since both can be divided by 15.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

6 cups of sugar, because the ratio must remain 2:3.