Question

The denominator of a fraction is 2 more than
numerator. If 1 is subtracted from the numerator
and 1 is added to the denominator fraction
becomes 1/2
what is that fraction?​

Answer 1

To Find:-

• Find the original fraction.

Given:-

• The denominator of a fraction is 2 more than numerator.
• If 1 is subtracted from the numerator and 1 is added to the denominator fraction becomes 1/2.

Solution:-

Let the numerator be " x "

Denominator be " x + 2 "

$\tt\implies \: \dfrac{x - 1 }{x + 3} = \dfrac{1}{2}$

$\tt\implies \: 2( x - 1 ) = 1( x + 3 )$

$\tt\implies \: 2x - 2 = x + 3$

$\tt\implies \: 2x - x = 3 + 2$

$\tt\implies \: x = 5$

Hence,

• $\tt\: Numerator = 5$
• $\tt\: Denominator = x + 2 = 7$

∴ $\tt\: The \: \: fraction \: \: is \: \: \dfrac{5}{7}$

Answer 2

Step-by-step explanation:

$\huge\fcolorbox{blue}{green}{Given}$

• The denominator of a fraction is 2 more than numerator.

$\huge\fcolorbox{blue}{green}{To Find}$

• Original Fraction.....

$\huge\fcolorbox{blue}{green}{A•T•Q}$

If 1 is subtracted from the numerator and 1 is added to the denominator fraction becomes 1/2.

$\huge\fcolorbox{blue}{green}{Solution}$

• Let the numerator be " x "

• Denominator be " x + 2

• x - 1 / x + 3 = 1 / 2

• 2( x - 1 ) = 1( x + 3 )

• 2x - 2 = x + 3

• 2x - x = 3 + 2

• x = 5

$\huge\fcolorbox{blue}{green}{Therefore}$

• NUMERATOR : 5

• DENOMINATOR : 5 + 2 = 7

FRACTION : 5/7