# maths

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the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

• math -

Let the "rational number" be a/b.
b = a + 6
(a-2)/(b+4) = 1/5
(a-2)/(a +10) = 1/5
a - 2 = (a/5)+ 2
4a/5 = 4
a = 5 b = 11
The number is 5/11.

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