Solve 7!+8!/9(6!+5!)

$$\frac { 7 ! + 8 ! } { 9 ( 6 ! + 5 ! ) }$$

Evaluate

$$6$$

Solution Steps

The factorial of 7 is 5040.

$$\frac{5040+8!}{9\left(6!+5!\right)}$$

The factorial of 8 is 40320.

$$\frac{5040+40320}{9\left(6!+5!\right)}$$

Add 5040 and 40320 to get 45360.

$$\frac{45360}{9\left(6!+5!\right)}$$

The factorial of 6 is 720.

$$\frac{45360}{9\left(720+5!\right)}$$

The factorial of 5 is 120.

$$\frac{45360}{9\left(720+120\right)}$$

Add 720 and 120 to get 840.

$$\frac{45360}{9\times 840}$$

Multiply 9 and 840 to get 7560.

$$\frac{45360}{7560}$$

Divide 45360 by 7560 to get 6.

$$6$$

Factor

$$2\times 3$$