Solve 2/3-9/4

$$\frac { 2 } { 3 } - \frac { 9 } { 4 }$$

Evaluate

$$-\frac{19}{12}\approx -1.583333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{8}{12}-\frac{27}{12}$$

Since \frac{8}{12} and \frac{27}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-27}{12}$$

Subtract 27 from 8 to get -19.

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

Factor

$$-\frac{19}{12} = -1\frac{7}{12} = -1.5833333333333333$$