The least common denominator of two fractions is 24. If you add the two denominators their sum is 14. What are the denominators

6 and 8 are the denominators

Step-by-step explanation:

You can try all the possible combinations of denominators that add to 14, and look for what the least common denominator would be:

Denominator 1         Denominator 2     LCD

1                                         13                   13

2                                        12                   12

3                                        11                    33

4                                        10                   20

5                                        9                    45

6                                        8                    24

7                                        7                     7

and then the pairs alternate giving the same results for the LCD until one gets to 13 and 1.

Therefore, one denominator must be 6 and the other 8