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

Tags

CCSS.6.RP.A.3A

Front

How do you find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 15:30, dividing both terms by 15 gives the equivalent ratio 1:2.

Tags

CCSS.6.RP.A.3A

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two numbers are reduced to their smallest whole number values while maintaining the same relationship. For example, the ratio 8:12 can be simplified to 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios a:b and c:d, they are equivalent if a*d = b*c.

Tags

CCSS.6.RP.A.3A

Front

What is the relationship between the ratios 14:18 and 7:9?

Back

The ratios 14:18 and 7:9 are equivalent because both can be simplified to the same ratio by dividing by their greatest common divisor.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of 45:9 in simplest form?

Back

The ratio 45:9 simplifies to 5:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a ratio is 4:1, what does this mean in terms of parts?

Back

A ratio of 4:1 means that for every 4 parts of one quantity, there is 1 part of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you create an equivalent ratio by multiplication?

Back

To create an equivalent ratio by multiplication, multiply both terms of the ratio by the same non-zero number. For example, multiplying the ratio 2:3 by 2 gives the equivalent ratio 4:6.

Tags

CCSS.6.RP.A.3A

Front

What is the equivalent ratio of 2:7 when both terms are multiplied by 7?

Back

The equivalent ratio of 2:7 when both terms are multiplied by 7 is 14:49.

Tags

CCSS.6.RP.A.3A

Front

Can ratios be expressed in different forms?

Back

Yes, ratios can be expressed in different forms, such as fractions, decimals, or percentages, while still representing the same relationship.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2