Solve 9/14+-11/14-5/14

$$\frac{ 9 }{ 14 } + \frac{ -11 }{ 14 } - \frac{ 5 }{ 14 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Fraction \frac{-11}{14} can be rewritten as -\frac{11}{14} by extracting the negative sign.

$$\frac{9}{14}-\frac{11}{14}-\frac{5}{14}$$

Since \frac{9}{14} and \frac{11}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-11}{14}-\frac{5}{14}$$

Subtract 11 from 9 to get -2.

$$\frac{-2}{14}-\frac{5}{14}$$

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

$$-\frac{1}{7}-\frac{5}{14}$$

Least common multiple of 7 and 14 is 14. Convert -\frac{1}{7} and \frac{5}{14} to fractions with denominator 14.

$$-\frac{2}{14}-\frac{5}{14}$$

Since -\frac{2}{14} and \frac{5}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-5}{14}$$

Subtract 5 from -2 to get -7.

$$\frac{-7}{14}$$

Reduce the fraction \frac{-7}{14} to lowest terms by extracting and canceling out 7.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$