Solve 1/4-25/12

$$\frac { 1 } { 4 } - \frac { 25 } { 12 }$$

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{25}{12} to fractions with denominator 12.

$$\frac{3}{12}-\frac{25}{12}$$

Since \frac{3}{12} and \frac{25}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-25}{12}$$

Subtract 25 from 3 to get -22.

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

Reduce the fraction \frac{-22}{12} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$