Question

The numerator of a fraction is 9 less than its denominator. When 6 is subtracted from its numerator, the simplest form of the fraction obtained is 1/4. Find the original fraction.

Answer 1

Answer:

let the numerator of fraction is = X

then the denominator of fraction becomes = X + 9

Step-by-step explanation:

ATQ

X-6 / X + 9 = 1/4

4(X -6) = X +9

4X - 24 = X +9

3X -33 = 0

3x = 33

X = 11

so the number is 11

denominator is X +9 = ( 11 +9)

20

so the original fraction is 11 /20

verification

11 / 20

so if we subtract 6 from numerator the fraction becomes

5 /20 = 1/4