Solve -22/3+2.5-5/6-1/12=

$$-2 \frac{ 2 }{ 3 } +2.5- \frac{ 5 }{ 6 } - \frac{ 1 }{ 12 } =$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+2}{3}+2.5-\frac{5}{6}-\frac{1}{12}$$

Add 6 and 2 to get 8.

$$-\frac{8}{3}+2.5-\frac{5}{6}-\frac{1}{12}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{8}{3}+\frac{5}{2}-\frac{5}{6}-\frac{1}{12}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{8}{3} and \frac{5}{2} to fractions with denominator 6.

$$-\frac{16}{6}+\frac{15}{6}-\frac{5}{6}-\frac{1}{12}$$

Since -\frac{16}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{-16+15}{6}-\frac{5}{6}-\frac{1}{12}$$

Add -16 and 15 to get -1.

$$-\frac{1}{6}-\frac{5}{6}-\frac{1}{12}$$

Since -\frac{1}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-5}{6}-\frac{1}{12}$$

Subtract 5 from -1 to get -6.

$$\frac{-6}{6}-\frac{1}{12}$$

Divide -6 by 6 to get -1.

$$-1-\frac{1}{12}$$

Convert -1 to fraction -\frac{12}{12}.

$$-\frac{12}{12}-\frac{1}{12}$$

Since -\frac{12}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-1}{12}$$

Subtract 1 from -12 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$