the narrator of a fraction is 4 less than its denominator if the numerator is decreased by the 2 and the denominator is increased by 1 then the fraction becomes 1 by 8 find the fraction
Answers
Answered by
13
EXPLANATION.
Let the denominator of a fraction be = x
Let the numerator of a fraction be = x - 4
To find the fraction.
According to the question,
if the numerator is decreased by the 2
and the denominator is increased by 1
fraction become = 1/8
=> x - 4 - 2 / x + 1 = 1/8
=> x - 6 / x + 1 = 1/8
=> 8 ( x - 6 ) = 1 ( x + 1 )
=> 8x - 48 = x + 1
=> 7x = 49
=> x = 7
Therefore,
original fraction = x - 4 / x = 7 - 4 / 7 = 3/7
the fraction = 3/7
Answered by
6
Answer:
3/7
Step-by-step explanation:
Numerator = x
Denominator = 4 + x
(x-2) / (x+4+1) = 1/8
(x-2) / (x+5) = 1/8
(: cross multiply :) 8 (x-2) = (x+5)
8x - 16 = x + 5
7x = 21
x = 3.
Numerator = 3
Denominator = 3 + 4
= 7
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