Solve -4-0,5+1/3+1/2

$$- 4 - 0,5 + \frac { 1 } { 3 } + \frac { 1 } { 2 }$$

Evaluate

$$-\frac{11}{3}\approx -3,666666667$$

Solution Steps

Subtract 0,5 from -4 to get -4,5.

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

Convert decimal number -4,5 to fraction -\frac{45}{10}. Reduce the fraction -\frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{9}{2}+\frac{1}{3}+\frac{1}{2}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{9}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{27}{6}+\frac{2}{6}+\frac{1}{2}$$

Since -\frac{27}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{-27+2}{6}+\frac{1}{2}$$

Add -27 and 2 to get -25.

$$-\frac{25}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert -\frac{25}{6} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{25}{6}+\frac{3}{6}$$

Since -\frac{25}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-25+3}{6}$$

Add -25 and 3 to get -22.

$$\frac{-22}{6}$$

Reduce the fraction \frac{-22}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{3}$$

Factor

$$-\frac{11}{3} = -3\frac{2}{3} = -3.6666666666666665$$