Question

08.-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 what is the original fraction equal to?​

Answer 1

✪ 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. What is the original fraction equal to?

✪ 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 ✪

The original fraction.

✪ Solution ✪

Let the denominator be x.

So, numerator = (x-6)

According to condition,

{(x-6)+3}/x = 2/3

↝ (x-6+3)/x = 2/3

↝ (x-3)/x = 2/3

↝ 3(x-3) = 2x {cross multiplication}

↝ 3x-9 = 2x

↝ 3x-2x = 9

↝ x = 9

✪ Hence ✪

x = 9

Denominator = x = 9

Numerator = (x-6) = (9-6) = 3

✪ Therefore ✪

The original fraction is 3/9.

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✪ Verification ✪

(3+3)/9 = 2/3

↝ 6/9 = 2/3

↝ 6/9 ÷ 3/3 = 2/3

↝ 2/3 = 2/3

So, L.H.S = R.H.S.

Hence, verified.

๑ Hope this helps you. ๑