Solve -1/2+2/3-4/8*5

$$- \frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 4 } { 8 } \cdot 5$$

Evaluate

$$-\frac{7}{3}\approx -2.333333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$-\frac{3}{6}+\frac{4}{6}-\frac{4}{8}\times 5$$

Since -\frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{-3+4}{6}-\frac{4}{8}\times 5$$

Add -3 and 4 to get 1.

$$\frac{1}{6}-\frac{4}{8}\times 5$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}-\frac{1}{2}\times 5$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{1}{6}-\frac{5}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{1}{6} and \frac{5}{2} to fractions with denominator 6.

$$\frac{1}{6}-\frac{15}{6}$$

Since \frac{1}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-15}{6}$$

Subtract 15 from 1 to get -14.

$$\frac{-14}{6}$$

Reduce the fraction \frac{-14}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{3}$$

Factor

$$-\frac{7}{3} = -2\frac{1}{3} = -2.3333333333333335$$