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

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert -\frac{5}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{10}{6}+\frac{3}{6}-1$$

Since -\frac{10}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-10+3}{6}-1$$

Add -10 and 3 to get -7.

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

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

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

Since -\frac{7}{6} and \frac{6}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 6 from -7 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$