Solve 5/6-1/4+-2/3=

$$\frac{ 5 }{ 6 } - \frac{ 1 }{ 4 } + \frac{ -2 }{ 3 } =$$

Evaluate

$$-\frac{1}{12}\approx -0.083333333$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{10}{12}-\frac{3}{12}+\frac{-2}{3}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{12}+\frac{-2}{3}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{12}+\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\frac{7}{12}-\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{7}{12}-\frac{8}{12}$$

Since \frac{7}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-8}{12}$$

Subtract 8 from 7 to get -1.

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

Factor

$$-\frac{1}{12} = -0.08333333333333333$$