Question

THE DENOMINATORS OF A FRCTIONS IS 7 MORE THANS ITS NUMERATORS IF 3 IS ADDED TO THE DENOMINATOR AND 5 IS ADDED TO THE NUMERATORS THEN THE NEW FRACTION IS 3/4 FIND THE ORIGINALS FRACTION​

Answer 1

Answer:

Let x=numerator,

y=denominator.

y=x+7-

(x+3)/(y+3) = 2/3

(Cross multiply)

3(x+3)=2(y+3)

3x+9=2y+6

(subtract 9 from both sides)

3x+9-9-2y+6-9

3x-2y+6-9

3x=2y-3 - (ii)

(substitute the value of equation (i) into (ii))

3x=2(x+7)-3

3x-2x+14-3

3x=2x+11

(subtract 2x from both sides)

3x-2x=2x+11-2x

X=11.

(substitute the value of x into equation (i))

y=7+11

y=18.

• so numerator = 11,

denominator = 18.

• So original fraction is 11/18.

• 3/11th of original fraction is

= 11/18 x 3/11

= (11x3)/(18x11)

= 3/18

=1/6.

Answer = 1/6