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The least common denominator of two fractions is 28. If you subtract the two denominators, their difference is 10. What are the denominators?

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EmmaJayDee


28: 7,4,28,1,2,14,

the denominators are 4 and 14

Answer:

The denominators are 14 and 4.

Step-by-step explanation:

  • The least common denominator of two fractions is 28.
  • Their denominators have a difference of 10.

Now, the numbers are 14 and 4, because their difference is 10

\(14-4=10\)

Their least common denominator is

14    4 | 2

7    2 | 2

7     1 | 7

1

LCD: 2x2x7=28

As you can observe, these numbers fulfil the given conditions.

Therefore, the denominators are 14 and 4.

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