Solve 5+6-23/2+272/2

$$5 + \frac { 6 - 23 } { 2 } + \frac { 272 } { 2 }$$

Evaluate

$$\frac{265}{2}=132.5$$

Solution Steps

Subtract 23 from 6 to get -17.

$$5+\frac{-17}{2}+\frac{272}{2}$$

Fraction \frac{-17}{2} can be rewritten as -\frac{17}{2} by extracting the negative sign.

$$5-\frac{17}{2}+\frac{272}{2}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{10}{2}-\frac{17}{2}+\frac{272}{2}$$

Since \frac{10}{2} and \frac{17}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-17}{2}+\frac{272}{2}$$

Subtract 17 from 10 to get -7.

$$-\frac{7}{2}+\frac{272}{2}$$

Since -\frac{7}{2} and \frac{272}{2} have the same denominator, add them by adding their numerators.

$$\frac{-7+272}{2}$$

Add -7 and 272 to get 265.

$$\frac{265}{2}$$

Factor

$$\frac{5 \cdot 53}{2} = 132\frac{1}{2} = 132.5$$