The numerator of fraction is 1 less than its
denominator. If the numerator is increased
by 4 and the denominator is increased by 5,
the new fraction becomes equivalent to
5
What is the original fraction?
4
Answers
Answered by
6
Step-by-step explanation:
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Let the denominator be x.
So ,the numerator becomes x-1.
Original fraction =x-1/x
According to the question
x-1+4/x+5=4/5
x+3/x+5=4/5
5 (x+3)=4 (x+5)
5x+15=4x+20
5x-4x=20-15
x=5
Original fraction =x-1/x
= 5-1/5
= 4/5
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Answered by
2
ANSWER ::
Let x be the denominator
Then numerator = x - 1
So the fraction = (x-1)/x
So by the given condition
(x-1 +4)/ (x+5) =4/ 5
(x+3)/(x+5)= 4/5
5x+ 15= 4x + 20
5x - 4x = 20 - 15
x = 5
So the required fraction = 4/5
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