Solve a/bdiv(c/ddive/f)

$$\frac { a } { b } \div ( \frac { c } { d } \div \frac { e } { f } )$$

Evaluate

$$\frac{ead}{bcf}$$

Solution Steps

Divide \frac{a}{b} by \frac{\frac{c}{d}}{\frac{e}{f}} by multiplying \frac{a}{b} by the reciprocal of \frac{\frac{c}{d}}{\frac{e}{f}}.

$$\frac{a\times \frac{e}{f}}{b\times \frac{c}{d}}$$

Express a\times \frac{e}{f} as a single fraction.

$$\frac{\frac{ae}{f}}{b\times \frac{c}{d}}$$

Express b\times \frac{c}{d} as a single fraction.

$$\frac{\frac{ae}{f}}{\frac{bc}{d}}$$

Divide \frac{ae}{f} by \frac{bc}{d} by multiplying \frac{ae}{f} by the reciprocal of \frac{bc}{d}.

$$\frac{aed}{fbc}$$

Differentiate w.r.t. a

$$\frac{ed}{bcf}$$