Solve 6a/3a+15*4a+20/2a^2

$$\frac { 6 a } { 3 a + 15 } * \frac { 4 a + 20 } { 2 a ^ { 2 } }$$

Evaluate

$$\frac{4}{a}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{6a}{3a+15}.

$$\frac{6a}{3\left(a+5\right)}\times \frac{4a+20}{2a^{2}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2a}{a+5}\times \frac{4a+20}{2a^{2}}$$

Factor the expressions that are not already factored in \frac{4a+20}{2a^{2}}.

$$\frac{2a}{a+5}\times \frac{4\left(a+5\right)}{2a^{2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2a}{a+5}\times \frac{2\left(a+5\right)}{a^{2}}$$

Multiply \frac{2a}{a+5} times \frac{2\left(a+5\right)}{a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2a\times 2\left(a+5\right)}{\left(a+5\right)a^{2}}$$

Cancel out a\left(a+5\right) in both numerator and denominator.

$$\frac{2\times 2}{a}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{a}$$

Expand

$$\frac{4}{a}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{6a}{3a+15}.

$$\frac{6a}{3\left(a+5\right)}\times \frac{4a+20}{2a^{2}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2a}{a+5}\times \frac{4a+20}{2a^{2}}$$

Factor the expressions that are not already factored in \frac{4a+20}{2a^{2}}.

$$\frac{2a}{a+5}\times \frac{4\left(a+5\right)}{2a^{2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2a}{a+5}\times \frac{2\left(a+5\right)}{a^{2}}$$

Multiply \frac{2a}{a+5} times \frac{2\left(a+5\right)}{a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2a\times 2\left(a+5\right)}{\left(a+5\right)a^{2}}$$

Cancel out a\left(a+5\right) in both numerator and denominator.

$$\frac{2\times 2}{a}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{a}$$