Question

The denominator of a fraction is two more than its numerator. if one is added to the denominator, the fraction becomes 3/4. find the fraction.​

Answer 1

GIVEN :-

• Denominator of a fraction is two more than its numerator .

• When one is added to the denomiator , the fraction becomes  $\sf\dfrac{3}{4}$ .

TO FIND :-

• The fraction

SOLUTION :-

  Let ,

   Numerator = x

   Denominator = x + 2

     

   According to the question ,

                 $\sf\dfrac{x+1}{x+2}=\dfrac{3}{4}$

     $\longrightarrow \sf 4(x+1)=3(x+2)\\\\\longrightarrow 4x+4=3x+6\\\\\longrightarrow 4x-3x=6-4\\\\\longrightarrow x = 2$

• Numerator = 2

• Denominator =  4

   

    $\bf\underline{\underline{Fraction = \dfrac{2}{4}}}$

Answer 2

Solution :-

Let,

Numerator = x.

Denominator = x + 2.

Now, It is Given that,

• If one is added to the denominator, the fraction becomes 3/4.

So, The Equation Formed :-

$\sf{\dfrac{x}{x +2 + 1} = \dfrac{3}{4} }$

$\sf{\dfrac{x}{x + 3} = \dfrac{3}{4} }$

Do Cross Multiplication.

➭$\sf{4(x) = 3(x + 3)}$

➭$\sf{4x = 3x + 9}$

➭$\sf{4x - 3x = 9}$

➭$\boxed{\bf\red{x = 9}}$

So,

Numerator = x = 9.

Denominator = x + 2 = 11.

So, The Fraction :- 9/11.