Question

A Fraction is such that the denominator is 5 more than numerator. If denominator is increased by 2, the fraction becomes 1/2. Find the answer​

Answer 1

Step-by-step explanation:

the original fracruin is 7 / 12

Answer 2

Answer:

• The fraction is 7/12.

Step-by-step explanation:

Given that:

• A fraction is such that the denominator is 5 more than the numerator.
• If the denominator is increased by 2, the fraction becomes 1/2.

To find:

• The fraction.

Let us assume:

• The numerator be x.

Then,

• The denominator will be (x + 5).

If denominator is increased by 2:

• The denominator will be (x + 5 + 2) = (x + 7)

According to the question:

$\sf{\implies\dfrac{x}{x+7}=\dfrac{1}{2}}$

By cross-multiplication:

$\sf{\implies x+7=2x}$

Transposing variables to LHS, constants to RHS and changing their sign,

$\sf{\implies x-2x=-7}$

Subtracting,

$\sf{\implies -x=-7}$

$\sf{\implies \not\!{-}x=\not\!{-}7}$

$\bf{\implies x=7}$

Hence,

• x = 7

Therefore,

• Numerator = x = 7
• Denominator = x + 5 = 7 + 5 = 12

And,

• The fraction is 7/12.