Solve 2!+3/5!

$$2 ! + \frac { 3 } { 5 ! }$$

Evaluate

$$\frac{81}{40}=2.025$$

Solution Steps

The factorial of 2 is 2.

$$2+\frac{3}{5!}$$

The factorial of 5 is 120.

$$2+\frac{3}{120}$$

Reduce the fraction \frac{3}{120} to lowest terms by extracting and canceling out 3.

$$2+\frac{1}{40}$$

Convert 2 to fraction \frac{80}{40}.

$$\frac{80}{40}+\frac{1}{40}$$

Since \frac{80}{40} and \frac{1}{40} have the same denominator, add them by adding their numerators.

$$\frac{80+1}{40}$$

Add 80 and 1 to get 81.

$$\frac{81}{40}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {3} \cdot 5} = 2\frac{1}{40} = 2.025$$