Solve 21/4-5/12-1/3

$$2 \frac { 1 } { 4 } - \frac { 5 } { 12 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\frac{5}{12}-\frac{1}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{5}{12}-\frac{1}{3}$$

Least common multiple of 4 and 12 is 12. Convert \frac{9}{4} and \frac{5}{12} to fractions with denominator 12.

$$\frac{27}{12}-\frac{5}{12}-\frac{1}{3}$$

Since \frac{27}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-5}{12}-\frac{1}{3}$$

Subtract 5 from 27 to get 22.

$$\frac{22}{12}-\frac{1}{3}$$

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

$$\frac{11}{6}-\frac{1}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{11}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{11}{6}-\frac{2}{6}$$

Since \frac{11}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-2}{6}$$

Subtract 2 from 11 to get 9.

$$\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$