Solve 11/4-2/3

$$\frac { 11 } { 4 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{11}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{33}{12}-\frac{8}{12}$$

Since \frac{33}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-8}{12}$$

Subtract 8 from 33 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$