Question

The numerator of a fraction is 6 less than the denominator. If 1 is added to both numerator and denominator,it becomes 1/2,then find the fraction​

Answer 1

Answer:

x=11

Step-by-step explanation:

x-6/x => rational no

x-5/x+1=1/2

2x-10=x+1

x=11

Answer 2

Given - The numerator of a fraction is 6 less than the denominator.

Find - Fraction

Solution - As per the given information, numerator and denominator in ratio are (x-6) and x.

Now, addition of 1 to both numerator and denominator makes them equivalent to 1/2.

Expressing the given information in mathematical form-

(x-6+1)/(x+1) = 1/2

Now solving the given equation to find the value of x.

(x-5)/(x+1) = 1/2

2x - 10 = x - 1

x = 11

So, Denominator = x

Denominator = 11

Hence, Numerator = x-6

Numerator = 11-6

Numerator = 5

Thus, original fraction is 5/11.