Question

3. 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 original fraction be X/y Given X=y-6, so the fraction can be written as y-6/y and given if 3 is added to numerator then fraction becomes 2/3 so the fraction is y-6+3/y=2/3--->y-3/y=2/3---->3(y-3)=2y--->3y-2y=9--->y=9 so the fraction is y-6/y=9-6/9=3/9=1/3.

Step-by-step explanation:

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Answer 2

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