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Remember to multiply or divide both terms by the same value to find equivalent ratios

FIND TWO RATIOS EQUIVALENT TO THE GIVEN RATIO


QUESTION

1. 5/12 2. 14:32

3. 3to4 4. 7/8

1 Answer

5 votes

9514 1404 393

Answer:

  1. 10/24, 25/60
  2. 7:16, 35:80
  3. 6 to 8, 15 to 20
  4. 14/16, 35/40

Explanation:

Just as the directions tell you, multiply both parts of the ratio by the same number. Here, the equivalents we used are 1, 2, and 5 times the numbers in the reduced ratio. Your multipliers can be anything, and don't need to be positive or rational or numbers.

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1. 5/12 = (5·2)/(12·2) = 10/24

5/12 = (5·5)/(12·5) = 25/60

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2. 14:32 = (7·2):(16·2) = 7:16

7:16 = (7·5):(16·5) = 35:80

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3. 3 to 4 = (3·2) to (4·2) = 6 to 8

3 to 4 = (3·5) to (4·5) = 15 to 20

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4. 7/8 = (7·2)/(8·2) = 14/16

7/8 = (7·5)/(8·5) = 35/40

7/8 = (7·m)/(8·m) = (7m)/(8m) . . . m ≠ 0

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