Multiply and simplify. $\frac{12u^{6}v}{7u+v}\cdot \frac{u+v}{18u^5}$

A) $\frac{6uv}{7},u\ne 0$
B) $\frac{u+v}{7},u\ne 0$
C) $\frac{2uv(u+v)}{3(7u+v)},u\ne 0$
D) $\frac{2(u+v)}{3(7u+v)},u\ne 0$
E) $\frac{6}{7u+v},u\ne 0$

Multiply

The mathematical operation of increasing one number by another number, essentially repeated addition.

Simplify

To alter a mathematical expression or equation to make it easier to understand or work with by reducing it to its most basic form.