Solve 1+5/6-19/12

$$1 + \frac { 5 } { 6 } - \frac { 19 } { 12 }$$

Evaluate

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

Solution Steps

Convert 1 to fraction \frac{6}{6}.

$$\frac{6}{6}+\frac{5}{6}-\frac{19}{12}$$

Since \frac{6}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{6}-\frac{19}{12}$$

Add 6 and 5 to get 11.

$$\frac{11}{6}-\frac{19}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{11}{6} and \frac{19}{12} to fractions with denominator 12.

$$\frac{22}{12}-\frac{19}{12}$$

Since \frac{22}{12} and \frac{19}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-19}{12}$$

Subtract 19 from 22 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

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