simplify the complex fraction. (x + 4x/y)/(7/3x)

Answer 1

To simplify the complex fraction, we will first multiply the numerator and denominator by y to get rid of the fraction in the numerator:

[(x + 4x/y) * y] / [(7/3x) * y]
[(xy + 4x) / y] / (7y / 3x)

Next, we will multiply by the reciprocal in the denominator to simplify the division of fractions:

(xy + 4x) / y * (3x / 7y)
(3x(xy + 4x)) / (7y^2)

Therefore, the simplified form of the complex fraction is:

(3x^2y + 12x) / (7y^2)