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

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

Evaluate

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

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{8}{12}-\frac{3}{4}$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{12}-\frac{3}{4}$$

Add 3 and 8 to get 11.

$$\frac{11}{12}-\frac{3}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{11}{12} and \frac{3}{4} to fractions with denominator 12.

$$\frac{11}{12}-\frac{9}{12}$$

Since \frac{11}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-9}{12}$$

Subtract 9 from 11 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

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