Solve 5/13-1/3+8/13

$$\frac { 5 } { 13 } - \frac { 1 } { 3 } + \frac { 8 } { 13 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Least common multiple of 13 and 3 is 39. Convert \frac{5}{13} and \frac{1}{3} to fractions with denominator 39.

$$\frac{15}{39}-\frac{13}{39}+\frac{8}{13}$$

Since \frac{15}{39} and \frac{13}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-13}{39}+\frac{8}{13}$$

Subtract 13 from 15 to get 2.

$$\frac{2}{39}+\frac{8}{13}$$

Least common multiple of 39 and 13 is 39. Convert \frac{2}{39} and \frac{8}{13} to fractions with denominator 39.

$$\frac{2}{39}+\frac{24}{39}$$

Since \frac{2}{39} and \frac{24}{39} have the same denominator, add them by adding their numerators.

$$\frac{2+24}{39}$$

Add 2 and 24 to get 26.

$$\frac{26}{39}$$

Reduce the fraction \frac{26}{39} to lowest terms by extracting and canceling out 13.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$