Solve 3x+3/6div12x+12/9

$$\frac { 3 x + 3 } { 6 } \div \frac { 12 x + 12 } { 9 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Short Solution Steps

Divide \frac{3x+3}{6} by \frac{12x+12}{9} by multiplying \frac{3x+3}{6} by the reciprocal of \frac{12x+12}{9}.

$$\frac{\left(3x+3\right)\times 9}{6\left(12x+12\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{3\left(3x+3\right)}{2\left(12x+12\right)}$$

Factor the expressions that are not already factored.

$$\frac{3^{2}\left(x+1\right)}{2\times 12\left(x+1\right)}$$

Cancel out x+1 in both numerator and denominator.

$$\frac{3^{2}}{2\times 12}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{9}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{9}{24}$$

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$