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

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

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

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

$$-\frac{9}{6}+\frac{5}{6}-1$$

Since -\frac{9}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-9+5}{6}-1$$

Add -9 and 5 to get -4.

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

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

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

Since -\frac{2}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from -2 to get -5.

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

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$