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Evaluate the sum 6/(3^2 - 1) + 6/(5^2 - 1) + 6/(7^2 - 1)

 Oct 23, 2022
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Ok so first, what I did was simplify the denominators of the fractions. 3^2-1 is 8, 5^2-1 is 24, and 7^2-1 is 48. (Because 3 squared is 9, 5 squared is 25, and 7 squared is 49.)

 

So the fractions are 6/8, 6/24, and 6/48. Then I simplified them. To make it easier, I simplified them into eighths.

 

6/24 = 2/8 (We could've put 1/4, but I'm gonna use eighths for this problem. You can use whatever you want though.)

6/48 = 1/8

 

After that we add 6/8 + 2/8 + 1/8 to get 9/8.

 

So the answer is 9/8, or 1 1/8.

 Oct 23, 2022

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