Solve -31/90-(-5/6)

$$- \frac { 31 } { 90 } - ( - \frac { 5 } { 6 } )$$

Evaluate

$$\frac{22}{45}\approx 0.488888889$$

Solution Steps

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$-\frac{31}{90}+\frac{5}{6}$$

Least common multiple of 90 and 6 is 90. Convert -\frac{31}{90} and \frac{5}{6} to fractions with denominator 90.

$$-\frac{31}{90}+\frac{75}{90}$$

Since -\frac{31}{90} and \frac{75}{90} have the same denominator, add them by adding their numerators.

$$\frac{-31+75}{90}$$

Add -31 and 75 to get 44.

$$\frac{44}{90}$$

Reduce the fraction \frac{44}{90} to lowest terms by extracting and canceling out 2.

$$\frac{22}{45}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2} \cdot 5} = 0.4888888888888889$$