Solve 31/2+(-85)-(-442)=

$$3 \frac { 1 } { 2 } + ( - 85 ) - ( - 442 ) =$$

Evaluate

$$\frac{721}{2}=360.5$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}-85-\left(-442\right)$$

Add 6 and 1 to get 7.

$$\frac{7}{2}-85-\left(-442\right)$$

Convert 85 to fraction \frac{170}{2}.

$$\frac{7}{2}-\frac{170}{2}-\left(-442\right)$$

Since \frac{7}{2} and \frac{170}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-170}{2}-\left(-442\right)$$

Subtract 170 from 7 to get -163.

$$-\frac{163}{2}-\left(-442\right)$$

The opposite of -442 is 442.

$$-\frac{163}{2}+442$$

Convert 442 to fraction \frac{884}{2}.

$$-\frac{163}{2}+\frac{884}{2}$$

Since -\frac{163}{2} and \frac{884}{2} have the same denominator, add them by adding their numerators.

$$\frac{-163+884}{2}$$

Add -163 and 884 to get 721.

$$\frac{721}{2}$$

Factor

$$\frac{7 \cdot 103}{2} = 360\frac{1}{2} = 360.5$$