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Find the least common denominator of 7/20 and 3/28 give two other common denominators.

1 Answer

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Answer:

  • least: 140
  • others: 280, 420

Explanation:

It can work to start by factoring the numbers:

20 = 2²·5

28 = 2²·7

The LCM of 20 and 28 is 2²·5·7 = 140, the product of unique factors to their highest power. 140 is the least common denominator of the two fractions.

Any multiple of 140 will also be a value that can be used as a common denominator. Shown above are 2·140 = 280, and 3·140 = 420. The product of the given denominators, 20·28 = 560, is also another possible common denominator.

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