Solve +(-13/4)-(+5/6)=

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

Evaluate

$$-\frac{31}{12}\approx -2.583333333$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-\frac{4+3}{4}-\frac{5}{6}$$

Add 4 and 3 to get 7.

$$-\frac{7}{4}-\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{7}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{21}{12}-\frac{10}{12}$$

Since -\frac{21}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-10}{12}$$

Subtract 10 from -21 to get -31.

$$-\frac{31}{12}$$

Factor

$$-\frac{31}{12} = -2\frac{7}{12} = -2.5833333333333335$$