Solve -1/7+1/12-1/14=

$$- \frac { 1 } { 7 } + \frac { 1 } { 12 } - \frac { 1 } { 14 } =$$

Evaluate

$$-\frac{11}{84}\approx -0.130952381$$

Solution Steps

Least common multiple of 7 and 12 is 84. Convert -\frac{1}{7} and \frac{1}{12} to fractions with denominator 84.

$$-\frac{12}{84}+\frac{7}{84}-\frac{1}{14}$$

Since -\frac{12}{84} and \frac{7}{84} have the same denominator, add them by adding their numerators.

$$\frac{-12+7}{84}-\frac{1}{14}$$

Add -12 and 7 to get -5.

$$-\frac{5}{84}-\frac{1}{14}$$

Least common multiple of 84 and 14 is 84. Convert -\frac{5}{84} and \frac{1}{14} to fractions with denominator 84.

$$-\frac{5}{84}-\frac{6}{84}$$

Since -\frac{5}{84} and \frac{6}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-6}{84}$$

Subtract 6 from -5 to get -11.

$$-\frac{11}{84}$$

Factor

$$-\frac{11}{84} = -0.13095238095238096$$