Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right)$
A) $\frac { 4 c ^ { 2 } } { 7 t k }$
B) $\frac { 7 t k } { 4 }$
C) $\frac { 4 } { 7 t k }$
D) $\frac { 7 } { 4 t k }$

Question

Quizplus · Accepted Answer

Dividing fractions is equivalent to multiplying by the reciprocal. Thus, $\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right) = \left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \times \left( \frac { t k } { 35 c } \right) = \frac { 20 c \times t k } { t ^ { 2 } k ^ { 2 } \times 35 c } = \frac { 20 } { 35 t k } = \frac { 4 } { 7 t k }$.

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