SOLUTION: If the reciprocal of 5 times a number is subtracted from the reciprocal of that number. The result is 4/25. What is that number? can you please help me out I don't get it? thank

Question 694386: If the reciprocal of 5 times a number is subtracted from the reciprocal of that number. The result is 4/25. What is that number?
can you please help me out I don't get it? thanks in advance
Answer by Ave(106) (Show Source): You can put this solution on YOUR website!
reciprocal is when you turn a fraction upside down
so reciprocal of 5 times a number is 1/5x
then subtracted from the reciprocal of 1/5x which would be 5x
and the result equals 4/25
so 5x-1/5x=4/25 combine like terms
24/5x=4/25 times both sides by the reciprocal of 24/5
x=4/25(5/24) multiply
x=20/600 simplify
x=1/30
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