Solve 2/7-45/11+34/9

$$\frac { 2 } { 7 } - \frac { 45 } { 11 } + \frac { 34 } { 9 }$$

Evaluate

$$-\frac{19}{693}\approx -0.027417027$$

Solution Steps

Least common multiple of 7 and 11 is 77. Convert \frac{2}{7} and \frac{45}{11} to fractions with denominator 77.

$$\frac{22}{77}-\frac{315}{77}+\frac{34}{9}$$

Since \frac{22}{77} and \frac{315}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-315}{77}+\frac{34}{9}$$

Subtract 315 from 22 to get -293.

$$-\frac{293}{77}+\frac{34}{9}$$

Least common multiple of 77 and 9 is 693. Convert -\frac{293}{77} and \frac{34}{9} to fractions with denominator 693.

$$-\frac{2637}{693}+\frac{2618}{693}$$

Since -\frac{2637}{693} and \frac{2618}{693} have the same denominator, add them by adding their numerators.

$$\frac{-2637+2618}{693}$$

Add -2637 and 2618 to get -19.

$$-\frac{19}{693}$$

Factor

$$-\frac{19}{693} = -0.027417027417027416$$