SOLUTION: The sum of the reciprocal of 5 and the reciprocal of 7 is the reciprocal of what number?

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Question 653755: The sum of the reciprocal of 5 and the reciprocal of 7 is the reciprocal of what number?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the reciprocal of 5 and the reciprocal of 7 is the reciprocal of what number?
"reciprocal of 5" is 1/5
and
"reciprocal of 7" is 1/7
.
Sum is:
1/5 + 1/7
7/35 + 5/35
(7 + 5)/35
12/35
.
since 12/35 * 35/12 = 1
answer: 35/12