Simplify the complex fraction.
x plus open parentheses four x over y closed parentheses over seven over three x
A.fifteen x sqaured over seven y
B.seven x open parentheses y plus four closed parentheses over three x y
C.three x squared open parentheses y plus four clsed parentheses over seven y
D.3 open parentheses y plus four closed parentheses over seven y
The correct answer is B.
To simplify the complex fraction, we need to multiply both the numerator and the denominator by the reciprocal of the denominator of the complex fraction.
[(x + 4x/y) / 7] / 3x
= [(xy + 4x) / (7y)] / 3x
= (xy + 4x) / (7y * 3x)
= (xy + 4x) / (21xy)
= (7x(y + 4)) / (21xy)
= (7x(y + 4)) / (3 * 7xy)
= (7x(y + 4)) / (3 * 7xy)
= (y + 4) / (3y)
= (7y + 4) / 3y
= 7(y + 4) / 3y
= 7(y + 4) / 3y
= (7y + 28) / 3y
= (7y + 28) / 3y
= 7(y + 4) / 3y
Therefore, the simplified expression is 7(y + 4) / 3y, which is option B.