SOLUTION: If 3/8 is added to the reciprocal of a number, the result is 31/8. Find the number.

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Question 1178439: If 3/8 is added to the reciprocal of a number, the result is 31/8. Find the number.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let a number be x, the reciprocal of a number will be 1%2Fx
If 3%2F8 is added to the reciprocal of a number, the result is 31%2F8, so we have
1%2Fx%2B3%2F8=31%2F8
1%2Fx=31%2F8-3%2F8
1%2Fx=28%2F8
1%2Fx=7%2F2
1=x%287%2F2%29
x=1%2F%287%2F2%29
x=2%2F7->and its reciprocal is x=7%2F2
check:
7%2F2%2B3%2F8=31%2F8
31%2F8=31%2F8