Solve (-5/6+2/3)-1

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

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

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

$$-\frac{5}{6}+\frac{4}{6}-1$$

Since -\frac{5}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{-5+4}{6}-1$$

Add -5 and 4 to get -1.

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

Convert 1 to fraction \frac{6}{6}.

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

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

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

Subtract 6 from -1 to get -7.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$