Solve -5/6+31/4-7/12

$$- \frac { 5 } { 6 } + 3 \frac { 1 } { 4 } - \frac { 7 } { 12 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$-\frac{5}{6}+\frac{12+1}{4}-\frac{7}{12}$$

Add 12 and 1 to get 13.

$$-\frac{5}{6}+\frac{13}{4}-\frac{7}{12}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{5}{6} and \frac{13}{4} to fractions with denominator 12.

$$-\frac{10}{12}+\frac{39}{12}-\frac{7}{12}$$

Since -\frac{10}{12} and \frac{39}{12} have the same denominator, add them by adding their numerators.

$$\frac{-10+39}{12}-\frac{7}{12}$$

Add -10 and 39 to get 29.

$$\frac{29}{12}-\frac{7}{12}$$

Since \frac{29}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-7}{12}$$

Subtract 7 from 29 to get 22.

$$\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$