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

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

$$\frac{9}{12}+\frac{4}{12}-\frac{5}{6}$$

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

$$\frac{9+4}{12}-\frac{5}{6}$$

Add 9 and 4 to get 13.

$$\frac{13}{12}-\frac{5}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{13}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{13}{12}-\frac{10}{12}$$

Since \frac{13}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-10}{12}$$

Subtract 10 from 13 to get 3.

$$\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$