Solve 5+(10-52/8)*2

$$5 + ( \frac { 10 - 52 } { 8 } ) \times 2$$

Evaluate

$$-\frac{11}{2}=-5.5$$

Solution Steps

Subtract 52 from 10 to get -42.

$$5+\frac{-42}{8}\times 2$$

Reduce the fraction \frac{-42}{8} to lowest terms by extracting and canceling out 2.

$$5-\frac{21}{4}\times 2$$

Express -\frac{21}{4}\times 2 as a single fraction.

$$5+\frac{-21\times 2}{4}$$

Multiply -21 and 2 to get -42.

$$5+\frac{-42}{4}$$

Reduce the fraction \frac{-42}{4} to lowest terms by extracting and canceling out 2.

$$5-\frac{21}{2}$$

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

$$\frac{10}{2}-\frac{21}{2}$$

Since \frac{10}{2} and \frac{21}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-21}{2}$$

Subtract 21 from 10 to get -11.

$$-\frac{11}{2}$$

Factor

$$-\frac{11}{2} = -5\frac{1}{2} = -5.5$$