Solve 3/4+5/6-5/2=

$$\frac { 3 } { 4 } + \frac { 5 } { 6 } - \frac { 5 } { 2 } =$$

Evaluate

$$-\frac{11}{12}\approx -0.916666667$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}-\frac{5}{2}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}-\frac{5}{2}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}-\frac{5}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{19}{12} and \frac{5}{2} to fractions with denominator 12.

$$\frac{19}{12}-\frac{30}{12}$$

Since \frac{19}{12} and \frac{30}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-30}{12}$$

Subtract 30 from 19 to get -11.

$$-\frac{11}{12}$$

Factor

$$-\frac{11}{12} = -0.9166666666666666$$