Solve 21/3-5/12

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

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}-\frac{5}{12}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}-\frac{5}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{7}{3} and \frac{5}{12} to fractions with denominator 12.

$$\frac{28}{12}-\frac{5}{12}$$

Since \frac{28}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-5}{12}$$

Subtract 5 from 28 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$