Solve 2(c+d)/3*18/6(c+d)^2

$$\frac { 2 ( c + d ) } { 3 } \cdot \frac { 18 } { 6 ( c + d ) ^ { 2 } }$$

Evaluate

$$\frac{2}{c+d}$$

Short Solution Steps

Use the distributive property to multiply 2 by c+d.

$$\frac{2c+2d}{3}\times \frac{18}{6\left(c+d\right)^{2}}$$

Multiply \frac{2c+2d}{3} times \frac{18}{6\left(c+d\right)^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2c+2d\right)\times 18}{3\times 6\left(c+d\right)^{2}}$$

Cancel out 3\times 6 in both numerator and denominator.

$$\frac{2c+2d}{\left(c+d\right)^{2}}$$

Factor the expressions that are not already factored.

$$\frac{2\left(c+d\right)}{\left(c+d\right)^{2}}$$

Cancel out c+d in both numerator and denominator.

$$\frac{2}{c+d}$$

Expand

$$\frac{2}{c+d}$$

Short Solution Steps

Use the distributive property to multiply 2 by c+d.

$$\frac{2c+2d}{3}\times \frac{18}{6\left(c+d\right)^{2}}$$

Multiply \frac{2c+2d}{3} times \frac{18}{6\left(c+d\right)^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2c+2d\right)\times 18}{3\times 6\left(c+d\right)^{2}}$$

Cancel out 3\times 6 in both numerator and denominator.

$$\frac{2c+2d}{\left(c+d\right)^{2}}$$

Factor the expressions that are not already factored.

$$\frac{2\left(c+d\right)}{\left(c+d\right)^{2}}$$

Cancel out c+d in both numerator and denominator.

$$\frac{2}{c+d}$$