Solve 66+82-66/8*(30+1/2-22)

$$66+ \frac{ 82-66 }{ 8 } \times ( \frac{ 30+1 }{ 2 } -22)$$

Evaluate

$$53$$

Solution Steps

Subtract 66 from 82 to get 16.

$$66+\frac{16}{8}\left(\frac{30+1}{2}-22\right)$$

Divide 16 by 8 to get 2.

$$66+2\left(\frac{30+1}{2}-22\right)$$

Add 30 and 1 to get 31.

$$66+2\left(\frac{31}{2}-22\right)$$

Convert 22 to fraction \frac{44}{2}.

$$66+2\left(\frac{31}{2}-\frac{44}{2}\right)$$

Since \frac{31}{2} and \frac{44}{2} have the same denominator, subtract them by subtracting their numerators.

$$66+2\times \frac{31-44}{2}$$

Subtract 44 from 31 to get -13.

$$66+2\left(-\frac{13}{2}\right)$$

Cancel out 2 and 2.

$$66-13$$

Subtract 13 from 66 to get 53.

$$53$$

Factor

$$53$$