Question

9.
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 then rhe original fraction is
​

Answer 1

Given :-

• 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

To find :-

• Original fraction

Solution :-

Let the denominator be x

• As per condition numerator of a fraction is 6 less than the denominator

So, numerator be (x - 6)

• It is given that if 3 is added to the numerator the fraction is equal to 2/3

According to question

→ (x - 6) + 3/x = ⅔

→ x - 6 + 3/x = ⅔

→ x - 3/x = ⅔

→ 3(x - 3) = 2x

→ 3x - 9 = 2x

→ 3x - 2x = 9

→ x = 9

Hence,

• Required fraction

• Numerator/Denominator = x -6/x

• 9 - 6/9 = 3/9 = 1/3