Solve 120+1/2-459/4

$$120+ \frac{ 1 }{ 2 } - \frac{ 459 }{ 4 }$$

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Convert 120 to fraction \frac{240}{2}.

$$\frac{240}{2}+\frac{1}{2}-\frac{459}{4}$$

Since \frac{240}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{240+1}{2}-\frac{459}{4}$$

Add 240 and 1 to get 241.

$$\frac{241}{2}-\frac{459}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{241}{2} and \frac{459}{4} to fractions with denominator 4.

$$\frac{482}{4}-\frac{459}{4}$$

Since \frac{482}{4} and \frac{459}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{482-459}{4}$$

Subtract 459 from 482 to get 23.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$