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

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

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

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 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, subtract them by subtracting their numerators.

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

Subtract 9 from 14 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$