Question

the numerater of a fraction is 6 less than denominater, the fraction is equal to 2/3. find the original fraction​

Answer 1

Answer:

• The original fraction is 12/18.

Step-by-step explanation:

Given that:

• The numerator of a fraction is 6 less than denominator.
• The fraction is equal to 2/3.

To Find:

• The original fraction.

Let us assume:

• Denominator be x.
• Numerator = (x - 6)
• Original fraction = (x - 6)/x

Finding the fraction:

According to the question.

⟶ (x - 6)/x = 2/3

Cross multiplication.

⟶ 3(x - 6) = 2x

⟶ 3x - 18 = 2x

⟶ 3x - 2x = 18

⟶ x = 18

Numerator = (x - 6) = (18 - 6) = 12

Denominator = x = 18

∴ Original fraction = 12/18

Answer 2

ORIGINAL FRACTION → 12 / 18

Step-by-step explanation:

• Lets assume the numerator be x - 6 & the denominator be x.
• ORIGINAL FRACTION → ( x - 6 ) / x

A T Q

(x - 6) / x = 2 / 3

(x - 6) * 3 = 2 * x

3x - 18 = 2x

x = 18

• ORIGINAL FRACTION
• → ( 18 - 6) / 18
• → 12 / 18