Solve 5/6+1/3+3/4

$$\frac { 5 } { 6 } + \frac { 1 } { 3 } + \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{1}{3} to fractions with denominator 6.

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

Since \frac{5}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

$$\frac{7}{6}+\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{14}{12}+\frac{9}{12}$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{14+9}{12}$$

Add 14 and 9 to get 23.

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

Factor

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