Simplify the complex fraction.
x plus open parentheses four x over y closed parentheses over seven over three x
To simplify the complex fraction, first divide "x" by "y" which gives us:
$\frac{x + \frac{4x}{y}}{\frac{7}{3x}}$
Now, multiply the numerator by the reciprocal of the denominator:
$(x + \frac{4x}{y}) \cdot \frac{3x}{7}$
Now, simplify the expression:
$\frac{3x^2 + 12x}{7y}$
So, the simplified complex fraction is $\frac{3x^2 + 12x}{7y}$.
Can you please use math symbols in your answer?
Sure! Here is the simplification of the complex fraction using math symbols:
Given: $\frac{x + \frac{4x}{y}}{\frac{7}{3x}}$
Simplify: $(x + \frac{4x}{y}) \times \frac{3x}{7}$
Simplify further: $\frac{3x^{2} + 12x}{7y}$
Therefore, the simplified complex fraction is $\frac{3x^{2} + 12x}{7y}$.