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

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

Evaluate

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

Solution Steps

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

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

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{10}{6}-\frac{3}{6}-\frac{3}{4}$$

Since \frac{10}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{6}-\frac{3}{4}$$

Subtract 3 from 10 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

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