Solve 3n-24/14*6/5n-40

$$\frac { 3 n - 24 } { 14 } \cdot \frac { 6 } { 5 n - 40 }$$

Evaluate

$$\frac{9}{35}\approx 0.257142857$$

Short Solution Steps

Multiply \frac{3n-24}{14} times \frac{6}{5n-40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3n-24\right)\times 6}{14\left(5n-40\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(3n-24\right)}{7\left(5n-40\right)}$$

Factor the expressions that are not already factored.

$$\frac{3^{2}\left(n-8\right)}{5\times 7\left(n-8\right)}$$

Cancel out n-8 in both numerator and denominator.

$$\frac{3^{2}}{5\times 7}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{9}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{9}{35}$$

Factor

$$\frac{3 ^ {2}}{5 \cdot 7} = 0.2571428571428571$$