Question

Word problem

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. Find the actual fraction.

Answer 1

Dear student,
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 =1/3

Hope you understand pls like