Solve -3/4+(1/6+5/2)

$$- \frac { 3 } { 4 } + ( \frac { 1 } { 6 } + \frac { 5 } { 2 } )$$

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert -\frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

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

Since -\frac{9}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

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

Add -9 and 2 to get -7.

$$-\frac{7}{12}+\frac{5}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{7}{12} and \frac{5}{2} to fractions with denominator 12.

$$-\frac{7}{12}+\frac{30}{12}$$

Since -\frac{7}{12} and \frac{30}{12} have the same denominator, add them by adding their numerators.

$$\frac{-7+30}{12}$$

Add -7 and 30 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$