Solve 3a^2/10bcdiv9a/5b^2c

$$\frac { 3 a ^ { 2 } } { 10 b c } \div \frac { 9 a } { 5 b ^ { 2 } c }$$

Evaluate

$$\frac{ab}{6}$$

Solution Steps

Divide \frac{3a^{2}}{10bc} by \frac{9a}{5b^{2}c} by multiplying \frac{3a^{2}}{10bc} by the reciprocal of \frac{9a}{5b^{2}c}.

$$\frac{3a^{2}\times 5b^{2}c}{10bc\times 9a}$$

Cancel out 3\times 5abc in both numerator and denominator.

$$\frac{ab}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{ab}{6}$$

Differentiate w.r.t. b

$$\frac{a}{6}$$