Solve 6/13-4/6-1/3

$$\frac { 6 } { 13 } - \frac { 4 } { 6 } - \frac { 1 } { 3 }$$

Evaluate

$$-\frac{7}{13}\approx -0.538461538$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{6}{13}-\frac{2}{3}-\frac{1}{3}$$

Least common multiple of 13 and 3 is 39. Convert \frac{6}{13} and \frac{2}{3} to fractions with denominator 39.

$$\frac{18}{39}-\frac{26}{39}-\frac{1}{3}$$

Since \frac{18}{39} and \frac{26}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-26}{39}-\frac{1}{3}$$

Subtract 26 from 18 to get -8.

$$-\frac{8}{39}-\frac{1}{3}$$

Least common multiple of 39 and 3 is 39. Convert -\frac{8}{39} and \frac{1}{3} to fractions with denominator 39.

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

Since -\frac{8}{39} and \frac{13}{39} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 13 from -8 to get -21.

$$\frac{-21}{39}$$

Reduce the fraction \frac{-21}{39} to lowest terms by extracting and canceling out 3.

$$-\frac{7}{13}$$

Factor

$$-\frac{7}{13} = -0.5384615384615384$$