Solve 1/2-1/4!

$$\frac { 1 } { 2 } - \frac { 1 } { 4 ! }$$

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

The factorial of 4 is 24.

$$\frac{1}{2}-\frac{1}{24}$$

Least common multiple of 2 and 24 is 24. Convert \frac{1}{2} and \frac{1}{24} to fractions with denominator 24.

$$\frac{12}{24}-\frac{1}{24}$$

Since \frac{12}{24} and \frac{1}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{24}$$

Subtract 1 from 12 to get 11.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$