Solve 31/11-(-6/17)

$$\frac { 31 } { 11 } - ( - \frac { 6 } { 17 } )$$

Evaluate

$$\frac{593}{187}\approx 3.171122995$$

Solution Steps

The opposite of -\frac{6}{17} is \frac{6}{17}.

$$\frac{31}{11}+\frac{6}{17}$$

Least common multiple of 11 and 17 is 187. Convert \frac{31}{11} and \frac{6}{17} to fractions with denominator 187.

$$\frac{527}{187}+\frac{66}{187}$$

Since \frac{527}{187} and \frac{66}{187} have the same denominator, add them by adding their numerators.

$$\frac{527+66}{187}$$

Add 527 and 66 to get 593.

$$\frac{593}{187}$$

Factor

$$\frac{593}{11 \cdot 17} = 3\frac{32}{187} = 3.171122994652406$$