Solve 4n+12/10n-40div5n+15/3n-12=

$$\frac { 4 n + 12 } { 10 n - 40 } \div \frac { 5 n + 15 } { 3 n - 12 } =$$

Evaluate

$$\frac{6}{25}=0.24$$

Short Solution Steps

Divide \frac{4n+12}{10n-40} by \frac{5n+15}{3n-12} by multiplying \frac{4n+12}{10n-40} by the reciprocal of \frac{5n+15}{3n-12}.

$$\frac{\left(4n+12\right)\left(3n-12\right)}{\left(10n-40\right)\left(5n+15\right)}$$

Factor the expressions that are not already factored.

$$\frac{3\times 4\left(n-4\right)\left(n+3\right)}{5\times 10\left(n-4\right)\left(n+3\right)}$$

Cancel out 2\left(n-4\right)\left(n+3\right) in both numerator and denominator.

$$\frac{2\times 3}{5\times 5}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$