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 equivalent ratios using multiplication?

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To find equivalent ratios using multiplication, multiply 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

How do you find equivalent ratios using division?

Back

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

Tags

CCSS.6.RP.A.3A

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 9 cups of flour?

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To find the amount of sugar needed, set up the ratio: 2/3 = x/9. Solving for x gives x = 6 cups of sugar.

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What is the ratio of Holstein to Jersey cows if there are 28 Holsteins and 20 Jerseys?

Back

The ratio of Holstein to Jersey cows is 28:20, which simplifies to 7:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 60 miles in 1 hour, what is the equivalent ratio of miles to hours?

Back

The equivalent ratio is 60 miles:1 hour, which can also be expressed as 120 miles:2 hours.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the total number of parts in the ratio 7:3?

Back

The total number of parts in the ratio 7:3 is 7 + 3 = 10 parts.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a book has 500 pages and the ratio of pages read to pages left is 7:3, how many pages are left?

Back

If 7 parts are read, then 3 parts are left. The total parts are 10, so pages left = (3/10) * 500 = 150 pages.

Front

How can you check if two ratios are equivalent?

Back

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

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of calories in 120 calories for 2 servings to 360 calories for 6 servings?

Back

The ratio is equivalent because both simplify to 60 calories per serving.

Tags

CCSS.6.RP.A.3A