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

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

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

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

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

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

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

Subtract 2 from 3 to get 1.

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

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{10}{12}$$

Since \frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{12}$$

Add 3 and 10 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$