Solve -8/14+13/28-2/7

$$- \frac { 8 } { 14 } + \frac { 13 } { 28 } - \frac { 2 } { 7 }$$

Evaluate

$$-\frac{11}{28}\approx -0.392857143$$

Solution Steps

Reduce the fraction \frac{8}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{7}+\frac{13}{28}-\frac{2}{7}$$

Least common multiple of 7 and 28 is 28. Convert -\frac{4}{7} and \frac{13}{28} to fractions with denominator 28.

$$-\frac{16}{28}+\frac{13}{28}-\frac{2}{7}$$

Since -\frac{16}{28} and \frac{13}{28} have the same denominator, add them by adding their numerators.

$$\frac{-16+13}{28}-\frac{2}{7}$$

Add -16 and 13 to get -3.

$$-\frac{3}{28}-\frac{2}{7}$$

Least common multiple of 28 and 7 is 28. Convert -\frac{3}{28} and \frac{2}{7} to fractions with denominator 28.

$$-\frac{3}{28}-\frac{8}{28}$$

Since -\frac{3}{28} and \frac{8}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-8}{28}$$

Subtract 8 from -3 to get -11.

$$-\frac{11}{28}$$

Factor

$$-\frac{11}{28} = -0.39285714285714285$$