Question

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

Answer 1

Answer:

let the denominator be x

then, numerator = x-6

according to question ,

=> (x-6)+3/x = 2/3

=> (x-6+3)/x = 2/3

=> (x-3)/x = 2/3

=> 3(x-3) = 2x

=> 3x-9 = 2x

=> 3x-2x = 9

=> x = 9. (denominator)

numerator = x-6 => 9-6 = 3

then , fraction = 3/9

Step-by-step explanation:

Hope it helped u dear frnd...❤

Answer 2

Answer :-

• The original fraction is 3/9.

Given :-

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

To Find :-

• Original fraction.

Solution :-

Let

• Denominator be x
• Numerator will be x - 6

3 added to the numerator

• (x - 6) + 3

→ x - 6 + 3

→ x - 3

The fraction becomes 2/3

According to question :-

⇒ x - 3/x = 2/3

⇒ 3 (x - 3) = 2 × x

⇒ 3x - 9 = 2x

⇒ 3x - 2x = 9

⇒ x = 9

Now

• Denominator = x = 9
• Numerator = x - 6 = 9 - 6 = 3

Hence, the fraction is 3/9.