Solve 120+1/2-45.9/4

$$120+ \frac{ 1 }{ 2 } - \frac{ 45.9 }{ 4 }$$

Evaluate

$$109.025$$

Solution Steps

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

$$\frac{240}{2}+\frac{1}{2}-\frac{45.9}{4}$$

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

$$\frac{240+1}{2}-\frac{45.9}{4}$$

Add 240 and 1 to get 241.

$$\frac{241}{2}-\frac{45.9}{4}$$

Expand \frac{45.9}{4} by multiplying both numerator and the denominator by 10.

$$\frac{241}{2}-\frac{459}{40}$$

Least common multiple of 2 and 40 is 40. Convert \frac{241}{2} and \frac{459}{40} to fractions with denominator 40.

$$\frac{4820}{40}-\frac{459}{40}$$

Since \frac{4820}{40} and \frac{459}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4820-459}{40}$$

Subtract 459 from 4820 to get 4361.

$$\frac{4361}{40}$$

Factor

$$\frac{89 \cdot 7 ^ {2}}{5 \cdot 2 ^ {3}} = 109\frac{1}{40} = 109.025$$