Solve 2*a/4*b/frac{3*b{a}}

$$\frac { \frac { 2 \cdot a } { 4 \cdot b } } { \frac { 3 \cdot b } { a } }$$

Evaluate

$$\frac{\left(\frac{a}{b}\right)^{2}}{6}$$

Solution Steps

Divide \frac{2a}{4b} by \frac{3b}{a} by multiplying \frac{2a}{4b} by the reciprocal of \frac{3b}{a}.

$$\frac{2aa}{4b\times 3b}$$

Cancel out 2 in both numerator and denominator.

$$\frac{aa}{2\times 3bb}$$

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

$$\frac{a^{2}}{2\times 3bb}$$

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

$$\frac{a^{2}}{2\times 3b^{2}}$$

Multiply 2 and 3 to get 6.

$$\frac{a^{2}}{6b^{2}}$$

Differentiate w.r.t. a

$$\frac{a}{3b^{2}}$$