Solve 1/2+3/4+5/6

$$1 / 2 + 3 / 4 + 5 / 6$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

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

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

$$\frac{15}{12}+\frac{10}{12}$$

Since \frac{15}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{12}$$

Add 15 and 10 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$