Solve 2/3-1/13-4/13

$$\frac { 2 } { 3 } - \frac { 1 } { 13 } - \frac { 4 } { 13 }$$

Evaluate

$$\frac{11}{39}\approx 0.282051282$$

Solution Steps

Least common multiple of 3 and 13 is 39. Convert \frac{2}{3} and \frac{1}{13} to fractions with denominator 39.

$$\frac{26}{39}-\frac{3}{39}-\frac{4}{13}$$

Since \frac{26}{39} and \frac{3}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-3}{39}-\frac{4}{13}$$

Subtract 3 from 26 to get 23.

$$\frac{23}{39}-\frac{4}{13}$$

Least common multiple of 39 and 13 is 39. Convert \frac{23}{39} and \frac{4}{13} to fractions with denominator 39.

$$\frac{23}{39}-\frac{12}{39}$$

Since \frac{23}{39} and \frac{12}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-12}{39}$$

Subtract 12 from 23 to get 11.

$$\frac{11}{39}$$

Factor

$$\frac{11}{3 \cdot 13} = 0.28205128205128205$$