Solve a/c*b/a/frac{ac{4a}}

$$\frac { \frac { a } { c } \cdot \frac { b } { a } } { \frac { a c } { 4 a } }$$

Evaluate

$$\frac{4b}{c^{2}}$$

Short Solution Steps

Multiply \frac{a}{c} times \frac{b}{a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{ab}{ca}}{\frac{ac}{4a}}$$

Cancel out a in both numerator and denominator.

$$\frac{\frac{b}{c}}{\frac{ac}{4a}}$$

Cancel out a in both numerator and denominator.

$$\frac{\frac{b}{c}}{\frac{c}{4}}$$

Divide \frac{b}{c} by \frac{c}{4} by multiplying \frac{b}{c} by the reciprocal of \frac{c}{4}.

$$\frac{b\times 4}{cc}$$

Multiply c and c to get c^{2}.

$$\frac{b\times 4}{c^{2}}$$

Differentiate w.r.t. b

$$\frac{4}{c^{2}}$$