Solve 6!/1+2+3+4+5+6

$$\frac{ 6 ! }{ 1+2+3+4+5+6 }$$

Evaluate

$$\frac{240}{7}\approx 34.285714286$$

Solution Steps

The factorial of 6 is 720.

$$\frac{720}{1+2+3+4+5+6}$$

Add 1 and 2 to get 3.

$$\frac{720}{3+3+4+5+6}$$

Add 3 and 3 to get 6.

$$\frac{720}{6+4+5+6}$$

Add 6 and 4 to get 10.

$$\frac{720}{10+5+6}$$

Add 10 and 5 to get 15.

$$\frac{720}{15+6}$$

Add 15 and 6 to get 21.

$$\frac{720}{21}$$

Reduce the fraction \frac{720}{21} to lowest terms by extracting and canceling out 3.

$$\frac{240}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5}{7} = 34\frac{2}{7} = 34.285714285714285$$