Solve quad7m^2/9b^2div14my/2ab^2=

$$\quad \frac { 7 m ^ { 2 } } { 9 b ^ { 2 } } \div \frac { 14 m y } { 2 a b ^ { 2 } } =$$

Evaluate

$$\frac{am}{9y}$$

Solution Steps

Divide \frac{7m^{2}}{9b^{2}} by \frac{14my}{2ab^{2}} by multiplying \frac{7m^{2}}{9b^{2}} by the reciprocal of \frac{14my}{2ab^{2}}.

$$\frac{7m^{2}\times 2ab^{2}}{9b^{2}\times 14my}$$

Cancel out 2\times 7mb^{2} in both numerator and denominator.

$$\frac{am}{9y}$$

Differentiate w.r.t. a

$$\frac{m}{9y}$$