Solve -5/6--10/6

$$\frac { - 5 } { 6 } - \frac { - 10 } { 6 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-\frac{5}{6}-\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{6}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$-\frac{5}{6}+\frac{5}{3}$$

Least common multiple of 6 and 3 is 6. Convert -\frac{5}{6} and \frac{5}{3} to fractions with denominator 6.

$$-\frac{5}{6}+\frac{10}{6}$$

Since -\frac{5}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{-5+10}{6}$$

Add -5 and 10 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$