Solve -117/3+175/2-50-14+20

$$\frac{ -117 }{ 3 } + \frac{ 175 }{ 2 } -50-14+20$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide -117 by 3 to get -39.

$$-39+\frac{175}{2}-50-14+20$$

Convert -39 to fraction -\frac{78}{2}.

$$-\frac{78}{2}+\frac{175}{2}-50-14+20$$

Since -\frac{78}{2} and \frac{175}{2} have the same denominator, add them by adding their numerators.

$$\frac{-78+175}{2}-50-14+20$$

Add -78 and 175 to get 97.

$$\frac{97}{2}-50-14+20$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{97}{2}-\frac{100}{2}-14+20$$

Since \frac{97}{2} and \frac{100}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97-100}{2}-14+20$$

Subtract 100 from 97 to get -3.

$$-\frac{3}{2}-14+20$$

Convert 14 to fraction \frac{28}{2}.

$$-\frac{3}{2}-\frac{28}{2}+20$$

Since -\frac{3}{2} and \frac{28}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-28}{2}+20$$

Subtract 28 from -3 to get -31.

$$-\frac{31}{2}+20$$

Convert 20 to fraction \frac{40}{2}.

$$-\frac{31}{2}+\frac{40}{2}$$

Since -\frac{31}{2} and \frac{40}{2} have the same denominator, add them by adding their numerators.

$$\frac{-31+40}{2}$$

Add -31 and 40 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$