Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses 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

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. For example, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of boys to girls if there are 21 boys and 6 girls?

Back

The ratio of boys to girls is 21:6, which simplifies to 7:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the equivalent ratio of flour to sugar?

Back

The equivalent ratio of flour to sugar is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 15 apples cost $3, how much do 30 apples cost?

Back

30 apples cost $6, as the ratio of apples to cost is equivalent.

Front

What is the ratio of 5 to 10?

Back

The ratio of 5 to 10 is 1:2, which is its simplest form.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of 12 to 16 in simplest form?

Back

The ratio of 12 to 16 in simplest form is 3:4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a wire is cut in the ratio 9:6, what are the lengths of the two pieces if the wire is 60 inches long?

Back

The lengths of the two pieces are 36 inches and 24 inches.

Tags

CCSS.6.RP.A.3B