Question

the numerator of a fraction is 6 less than the denominator if 3 is added to the numerator the fraction becomes equal is 2/3 find the original fraction​

Answer 1

Answer:

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Answer 2

Answer:

The Original Number is $\sf{\dfrac{3}{9}}$

Step-by-step explanation:

Given:

Numerator = 6 less than the denominator

When 3 is added to the numerator, the new fraction formed is $\sf{\dfrac{2}{3}}$

To Find :

The Original Number

Solution :

Let the -

• Denominator be as y
• Numberator be as (y - 6)

★ $\boxed{\sf{ \frac{(y - 6) + 3}{y} = \frac{2}{3} }}$

$\sf{\implies} \: \dfrac{y - 3}{y} = \dfrac{2}{3} \\ \\\sf{\implies} \: 3(y - 3) = 2(y) \\ \\ \sf{\implies} \: 3y - 9 = 2y \\ \\ \sf{\implies} \: 3y - 2y = 9 \\ \\ \sf{\implies} \: y = 9$

Denominator = 9

$\rule{300}{1.5}$

★ Value of (y - 6)

$\sf{\implies} \: 9 - 6 \\ \\ \sf{\implies} \: 3$

Numerator = 3

The original number = $\boxed{\sf{\dfrac{3}{9}}}$

$\therefore$ The Original Number is $\sf{\dfrac{3}{9}}$