Question

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

Answer 1

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

the denominators are 4 and 14

Answer 2

The denominators are 14 and 4.

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.