Question

the numerator of a fraction is 4 less then the denominator. if 1 is added to both it numerator and denominator it's becomes 1/2.find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let the denominator be : x

Then the numerator will be : x - 4

If 1 is added to both numerator and denominator : ( x - 4) +1 / x +1

Equation : ( x - 4) + 1 / x + 1   =   1/2

x - 3 / x + 1 =  1/2

2 ( x - 3)  =  1 ( x + 1 )            ( By cross multiplying)

2x - 6    =     x + 1  

2x - x     =    1 + 6

x = 7

Therefore the required fraction :   x - 4 / x    =  7 - 4 /7

3/7

Therefore the required fraction is 3/7

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