6th Grade: Ratios and Equivalence

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 divisor (GCD).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How can 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 ratio of boys to girls if there are 5 boys for every 8 girls?

Back

The ratio of boys to girls is 5:8.

Front

If the ratio of red circles to green circles is 4:7, what is the total number of parts?

Back

The total number of parts is 4 + 7 = 11.

Front

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by writing the first quantity as the numerator and the second quantity as the denominator.

Front

What is the first step to solve a problem involving ratios?

Back

Identify the quantities involved and their relationship as described by the ratio.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 9 cups of flour?

Back

If the ratio is 2:3, then for 9 cups of flour, you need 6 cups of sugar.

Front

What is the relationship between the ratios 3:4 and 6:8?

Back

The ratios 3:4 and 6:8 are equivalent because both can be simplified to the same ratio.