Solve -7/3--1/14

$$- \frac{ 7 }{ 3 } -- \frac{ 1 }{ 14 }$$

Evaluate

$$-\frac{95}{42}\approx -2.261904762$$

Solution Steps

The opposite of -\frac{1}{14} is \frac{1}{14}.

$$-\frac{7}{3}+\frac{1}{14}$$

Least common multiple of 3 and 14 is 42. Convert -\frac{7}{3} and \frac{1}{14} to fractions with denominator 42.

$$-\frac{98}{42}+\frac{3}{42}$$

Since -\frac{98}{42} and \frac{3}{42} have the same denominator, add them by adding their numerators.

$$\frac{-98+3}{42}$$

Add -98 and 3 to get -95.

$$-\frac{95}{42}$$

Factor

$$-\frac{95}{42} = -2\frac{11}{42} = -2.261904761904762$$