Question

The numerator of a fraction is4 a less the
denominato if 1 is
added to both its mumerato
and denenrunator, it becomes 1by2 find the fraction ​

Answer 1

Answer:

7

Step-by-step explanation:

Let the denominator be 'x'.

Then, numerator = x - 4

Therefore, equation -

x - 4 + 1 / x + 1 = 1/2

x - 3/ x + 1 = 1/2

2(x - 3) = 1(x + 1)     [ Cross Multiply]

2x - 6 = x + 1

2x - x = 6 +1

x = 7

Answer 2

Answer :

The fraction is 3/7.

Given :

• The numerator of a fraction is 4 less than its denominator.
• If 1 is added to both its numerator and denominator, it becomes 1/2 .

To find :

• The fraction.

Solution :

Consider,

• Denominator = x

★ The numerator of the fraction is 4 less than its denominator.

Then ,

• Numerator = (x-4)

According to the question :-

• If 1 is added to both its numerator and denominator, it becomes 1/2 .

$\to\sf{\dfrac{(x-4)+1}{x+1}=\dfrac{1}{2}}$

$\to\sf{\dfrac{x-3}{x+1}=\dfrac{1}{2}}$

$\to\sf{2x-6=x+1}$

$\to\sf{2x-x=1+6}$

$\to\sf{x=7}$

• Denominator = 7
• Numerator = (7-4) = 3

Therefore,

${\boxed{\sf{Original\: fraction=\dfrac{3}{7}}}}$