Solve 7/-2--5/7

$$\frac { 7 } { - 2 } - \frac { - 5 } { 7 }$$

Evaluate

$$-\frac{39}{14}\approx -2.785714286$$

Solution Steps

Fraction \frac{7}{-2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$-\frac{7}{2}-\frac{-5}{7}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$-\frac{7}{2}-\left(-\frac{5}{7}\right)$$

The opposite of -\frac{5}{7} is \frac{5}{7}.

$$-\frac{7}{2}+\frac{5}{7}$$

Least common multiple of 2 and 7 is 14. Convert -\frac{7}{2} and \frac{5}{7} to fractions with denominator 14.

$$-\frac{49}{14}+\frac{10}{14}$$

Since -\frac{49}{14} and \frac{10}{14} have the same denominator, add them by adding their numerators.

$$\frac{-49+10}{14}$$

Add -49 and 10 to get -39.

$$-\frac{39}{14}$$

Factor

$$-\frac{39}{14} = -2\frac{11}{14} = -2.7857142857142856$$