Question

The denominator of afraction is 4 more than its numerator . On subtracting 1 from each numerator and the the denominator , the fraction becomes 1/2. Find the original fraction.

Answer 1

x-1/x+4-1= 1/2
x-1/x+3=1/2
2x-2=x+3
x=5
fraction is 5/9

Answer 2

Hello here is your answer

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Step:-1)
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Define Numerator and Denominator of a fraction.

Let to be Numerator be x
Let to be Denominator be x
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Step:-2)
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Define the Fraction ACCORDING TO THE QUESTION,

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Step:-3)
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Follow the Question,

If The denominator of a fraction is 4 more than its numerator .

X/x+4
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Step:4)
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If,

On subtracting 1 from each numerator and the the denominator .

X-1/(x+4)-1
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Step:-5
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the fraction becomes 1/2.


Arrange in particular form

X-1/x+3=1/2


Equation has ready for solving
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Step:-6)
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X-1/x+3=1/2

Using Cross multiplication ,

2(x-1)=1(x+3)

2x-2=x+3

Using here trial formula:-

2x-x=3+2

x=5

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Step:-7
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Here,

Numerator is X=5

then,
Denominator be= (x+4)
=(5+4)
=(9)
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Step:-8

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We know that fraction written in the form of p/q

Required Fraction be=Numerator/Denominator


Here,

Numerator=5
Denominator=9

Again

Fraction=N/D
=5/9
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Step:-9
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Answer=5/9


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