Solve 24a^2/6b^2*4b/16a=

$$\frac { 24 a ^ { 2 } } { 6 b ^ { 2 } } \times \frac { 4 b } { 16 a } =$$

Evaluate

$$\frac{a}{b}$$

Solution Steps

Cancel out 6 in both numerator and denominator.

$$\frac{4a^{2}}{b^{2}}\times \frac{4b}{16a}$$

Cancel out 4 in both numerator and denominator.

$$\frac{4a^{2}}{b^{2}}\times \frac{b}{4a}$$

Multiply \frac{4a^{2}}{b^{2}} times \frac{b}{4a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4a^{2}b}{b^{2}\times 4a}$$

Cancel out 4ab in both numerator and denominator.

$$\frac{a}{b}$$

Differentiate w.r.t. b

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