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

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}-\frac{4}{12}-\frac{1}{4}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{12}-\frac{1}{4}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{12}-\frac{1}{4}$$

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

$$\frac{5}{12}-\frac{3}{12}$$

Since \frac{5}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{12}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$