Solve 5/6-(-10/11)

$$\frac { 5 } { 6 } - ( - \frac { 10 } { 11 } )$$

Evaluate

$$\frac{115}{66}\approx 1.742424242$$

Solution Steps

The opposite of -\frac{10}{11} is \frac{10}{11}.

$$\frac{5}{6}+\frac{10}{11}$$

Least common multiple of 6 and 11 is 66. Convert \frac{5}{6} and \frac{10}{11} to fractions with denominator 66.

$$\frac{55}{66}+\frac{60}{66}$$

Since \frac{55}{66} and \frac{60}{66} have the same denominator, add them by adding their numerators.

$$\frac{55+60}{66}$$

Add 55 and 60 to get 115.

$$\frac{115}{66}$$

Factor

$$\frac{5 \cdot 23}{2 \cdot 3 \cdot 11} = 1\frac{49}{66} = 1.7424242424242424$$