Solve 1/pB/frac{18{8}}

$$\frac { 1 } { p } \frac { B } { \frac { 18 } { 8 } }$$

Evaluate

$$\frac{4B}{9p}$$

Solution Steps

Divide B by \frac{18}{8} by multiplying B by the reciprocal of \frac{18}{8}.

$$\frac{1}{p}\times \frac{B\times 8}{18}$$

Divide B\times 8 by 18 to get B\times \frac{4}{9}.

$$\frac{1}{p}B\times \frac{4}{9}$$

Express \frac{1}{p}B as a single fraction.

$$\frac{B}{p}\times \frac{4}{9}$$

Multiply \frac{B}{p} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{B\times 4}{p\times 9}$$

Differentiate w.r.t. p

$$-\frac{4B}{9p^{2}}$$