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 can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of 3 to 6 in simplest form?

Back

The ratio of 3 to 6 in simplest form is 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Are the ratios 4:8 and 1:2 equivalent?

Back

Yes, the ratios 4:8 and 1:2 are equivalent.

Tags

CCSS.6.RP.A.3A

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 2:4 is equivalent to the fraction 1/2.

Tags

CCSS.6.RP.A.3A

Front

If you double both terms of a ratio, are the new ratios equivalent?

Back

Yes, doubling both terms of a ratio produces an equivalent ratio.

Tags

CCSS.6.RP.A.3A

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 two ratios are not equivalent, what does that mean?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.

Tags

CCSS.6.RP.A.3A

Front

Can the ratios 5:10 and 3:6 be considered equivalent?

Back

No, the ratios 5:10 and 3:6 are not equivalent.

Tags

CCSS.6.RP.A.3A