Solve 5/3-(-8/3)+1/12

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

Evaluate

$$\frac{53}{12}\approx 4.416666667$$

Solution Steps

The opposite of -\frac{8}{3} is \frac{8}{3}.

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

Since \frac{5}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

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

Add 5 and 8 to get 13.

$$\frac{13}{3}+\frac{1}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{13}{3} and \frac{1}{12} to fractions with denominator 12.

$$\frac{52}{12}+\frac{1}{12}$$

Since \frac{52}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{52+1}{12}$$

Add 52 and 1 to get 53.

$$\frac{53}{12}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3} = 4\frac{5}{12} = 4.416666666666667$$