Question

The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3, find the original fraction. BRAINLIST QUESTION!!!

Answer 1

Answer :–

• The original fraction is $\dfrac{3}{9}$

Given :–

• The numerator of a fraction is 6 less than the denominator.
• If 3 is added to the numerator, then the fraction is ⅔.

To Find :–

• The original fraction.

Solution :–

Let,

The denominator be x.

And the numerator be x – 6.

Original fraction = $\dfrac{x - 6}{x}$ ––––– (1)

According to the given question,

⟹ $\dfrac{x - 6 + 3}{x} = \dfrac{2}{3}$

⟹ $\dfrac{x - 3}{x} = \dfrac{2}{3}$

By cross-multiplication.

⟹ $3(x - 3) = 2x$

Now, open the brackets.

⟹ $3x - 9 = 2x$

⟹ $3x - 2x = 9$

⟹ $x = 9$

Now, put the value of x in equation (1).

Original fraction = $\dfrac{x - 6}{x}$

• x = 9

⟹ $\dfrac{9-6}{9}$

Now, subtract the numerator, we obtain

⟹ $\dfrac{3}{9}$

Hence,

The original fraction is $\dfrac{3}{9}$

Answer 2

Answer:

you see in picture's

Step-by-step explanation:

mark as a brainilist