A fraction’s numerator is cut down by 25%, and its denominator grows by 250%. If this produces a fraction of 6/5, what is the original fraction?

Question: A fraction’s numerator is cut down by 25%, and its denominator grows by 250%. If this produces a fraction of 6/5, what is the original fraction?Solution: Let the numerator is x and the denominator is yx is decreased by 25%.so, new numerator = x - 25% of x= x - x/4 = 3x/4 = 0.75xy is increased by 250%so, new denominator = y + 250% of y= y + 2.5y= 3.5yATQ,0.75x / 3.5y = 6/5x/y = (6 × 3.5)/(5 × 0.75)= 28/5