Question

denominator of a fraction is 6 greater than its numerator. if 1 is added to both the numerator and denominator it becomes 1 by 2 calculate the fraction.

Answer 1

Heya !!!


Let the numerator of fraction be X.


Then the denominator of fraction = (X+6)


Fraction = Numerator/Denominator = X/X+6


According to question,



X + 1/ X + 6 +1 = 1/2


X +1/ X + 7 = 1/2


2(X+1) = 1(X+7)


2X + 2 = X + 7


2X - X = 7-2


X = 5


Numerator of fraction = X = 5


and,


Denominator of fraction = X +6 = 5+6 = 11



Fraction = Numerator/Denominator = 5/11




HOPE IT WILL HELP YOU....... :-)

Answer 2

Hello Dear!!!

Here's your answer....

Let,

The numerator be x

the denominator be x+6

If one is added to both numerator and denominator... then it becomes 1/2

x+1 is numerator

x+7 is denominator.

x+1/x+7 = 1/2

2(x+1) = x+7

2x + 2= x+7

2x-x = 7-2

x = 5

numerator is 5

denominator is 5+6 = 11

The fraction is 5/11


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Hope this helps you....