Solve (+1/2)+41+(-1/4)+(-101)+7

$$( + \frac { 1 } { 2 } ) + 41 + ( - \frac { 1 } { 4 } ) + ( - 101 ) + 7$$

Evaluate

$$-\frac{211}{4}=-52.75$$

Solution Steps

Convert 41 to fraction \frac{82}{2}.

$$\frac{1}{2}+\frac{82}{2}-\frac{1}{4}-101+7$$

Since \frac{1}{2} and \frac{82}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+82}{2}-\frac{1}{4}-101+7$$

Add 1 and 82 to get 83.

$$\frac{83}{2}-\frac{1}{4}-101+7$$

Least common multiple of 2 and 4 is 4. Convert \frac{83}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{166}{4}-\frac{1}{4}-101+7$$

Since \frac{166}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{166-1}{4}-101+7$$

Subtract 1 from 166 to get 165.

$$\frac{165}{4}-101+7$$

Convert 101 to fraction \frac{404}{4}.

$$\frac{165}{4}-\frac{404}{4}+7$$

Since \frac{165}{4} and \frac{404}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{165-404}{4}+7$$

Subtract 404 from 165 to get -239.

$$-\frac{239}{4}+7$$

Convert 7 to fraction \frac{28}{4}.

$$-\frac{239}{4}+\frac{28}{4}$$

Since -\frac{239}{4} and \frac{28}{4} have the same denominator, add them by adding their numerators.

$$\frac{-239+28}{4}$$

Add -239 and 28 to get -211.

$$-\frac{211}{4}$$

Factor

$$-\frac{211}{4} = -52\frac{3}{4} = -52.75$$