Equivalent Ratios

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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 an equivalent ratio using multiplication?

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To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both by 2 gives 6:8.

Tags

CCSS.6.RP.A.3A

Front

How do you find an equivalent ratio using division?

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To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 10:15, dividing both by 5 gives 2:3.

Tags

CCSS.6.RP.A.3A

Front

What is the simplified form of the ratio 8:12?

Back

The simplified form of the ratio 8:12 is 2:3, found by dividing both terms by their greatest common divisor, which is 4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 36:21 = x:7, how do you find x?

Back

To find x, set up the proportion 36/21 = x/7 and cross-multiply. This gives 36 * 7 = 21 * x, leading to x = 12.

Tags

CCSS.7.RP.A.2C

Front

Which of the following ratios is equivalent to 3:4? 6:8, 4:3, 12:14, 20:15

Back

6:8 is equivalent to 3:4 because both can be simplified to the same ratio.

Tags

CCSS.6.RP.A.3A

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What is the ratio of 10 apples to 5 oranges in simplest form?

Back

The simplest form of the ratio 10:5 is 2:1, found by dividing both terms by 5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Which ratio is NOT equivalent to 5:6? 10:12, 15:18, 16:20, 20:24

Back

16:20 is NOT equivalent to 5:6 because it simplifies to 4:5.

Tags

CCSS.6.RP.A.3A

Front

What is the relationship between equivalent ratios and fractions?

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

Tags

CCSS.6.RP.A.3A

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for 2:3 and 4:6, check if 2*6 = 3*4.

Tags

CCSS.6.RP.A.3A