Solve a/frac{1{a}+1/b}

$$\frac { a } { \frac { 1 } { a } + \frac { 1 } { b } }$$

Evaluate

$$\frac{ba^{2}}{a+b}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a and b is ab. Multiply \frac{1}{a} times \frac{b}{b}. Multiply \frac{1}{b} times \frac{a}{a}.

$$\frac{a}{\frac{b}{ab}+\frac{a}{ab}}$$

Since \frac{b}{ab} and \frac{a}{ab} have the same denominator, add them by adding their numerators.

$$\frac{a}{\frac{b+a}{ab}}$$

Divide a by \frac{b+a}{ab} by multiplying a by the reciprocal of \frac{b+a}{ab}.

$$\frac{aab}{b+a}$$

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

$$\frac{a^{2}b}{b+a}$$

Differentiate w.r.t. b

$$\frac{a^{3}}{\left(a+b\right)^{2}}$$