Solve -11/6+0.5-5/3

$$- \frac{ 11 }{ 6 } +0.5- \frac{ 5 }{ 3 }$$

Evaluate

$$-3$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{11}{6}+\frac{1}{2}-\frac{5}{3}$$

Least common multiple of 6 and 2 is 6. Convert -\frac{11}{6} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{11}{6}+\frac{3}{6}-\frac{5}{3}$$

Since -\frac{11}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-11+3}{6}-\frac{5}{3}$$

Add -11 and 3 to get -8.

$$\frac{-8}{6}-\frac{5}{3}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{3}-\frac{5}{3}$$

Since -\frac{4}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-5}{3}$$

Subtract 5 from -4 to get -9.

$$\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$-3$$

Factor

$$-3$$