Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 10 t ^ { 3 } } { 3 n } \right) \left( \frac { 12 n } { 110 t } \right)$
A) $\frac { 4 t ^ { 4 } } { 11 n ^ { 2 } }$
B) $\frac { 11 t ^ { 2 } } { 4 }$
C) $\frac { 1,100 t ^ { 2 } } { 36 }$
D) $\frac { 4 t ^ { 2 } } { 11 }$

Question

Quizplus · Accepted Answer

Multiplying the numerators gives $10\cdot 12\cdot t^{3}\cdot n = 120tn^{2}$. Multiplying the denominators gives $330tn$.
Thus, $\dfrac{(10 t ^ { 3})}{(3 n)}\cdot\dfrac{(12 n)}{(110 t)}-\dfrac{120tn^{2}}{330tn}=\dfrac{4 t ^ { 2 } } { 11 }$ in reduced form.

Perform the Indicated Operations Below, and Express the Answer in Its