Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or 'a:b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you write a ratio of two quantities?

Back

You can write a ratio by placing the two quantities next to each other, separated by a colon (:) or the word 'to'. For example, the ratio of 3 apples to 2 oranges can be written as 3:2 or 3 to 2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.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. For example, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

Front

If a recipe calls for 4 cups of flour and 2 cups of sugar, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 2:4, which simplifies to 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you find equivalent ratios?

Back

You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same number. For example, if you have the ratio 2:3, multiplying both terms by 2 gives you 4:6.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of red toy cars to all toy cars if there are 3 red, 2 blue, and 5 green toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify 8:12, divide both by 4 to get 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of chocolate chips to flour in a recipe that uses 2 cups of chocolate chips and 3 cups of flour?

Back

The ratio of chocolate chips to flour is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If there are 6 stars and 4 squares, what is the ratio of stars to squares?

Back

The ratio of stars to squares is 6:4, which simplifies to 3:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2