Solve v/5+frac{w{6}}

$$\frac { v } { 5 + \frac { w } { 6 } }$$

Evaluate

$$\frac{6v}{w+30}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{6}{6}.

$$\frac{v}{\frac{5\times 6}{6}+\frac{w}{6}}$$

Since \frac{5\times 6}{6} and \frac{w}{6} have the same denominator, add them by adding their numerators.

$$\frac{v}{\frac{5\times 6+w}{6}}$$

Do the multiplications in 5\times 6+w.

$$\frac{v}{\frac{30+w}{6}}$$

Divide v by \frac{30+w}{6} by multiplying v by the reciprocal of \frac{30+w}{6}.

$$\frac{v\times 6}{30+w}$$

Differentiate w.r.t. v

$$\frac{6}{w+30}$$