Solve 27+3/11+118-2/5

$$\frac{ 27+3 }{ 11 } + \frac{ 118-2 }{ 5 }$$

Evaluate

$$\frac{1426}{55}\approx 25.927272727$$

Solution Steps

Add 27 and 3 to get 30.

$$\frac{30}{11}+\frac{118-2}{5}$$

Subtract 2 from 118 to get 116.

$$\frac{30}{11}+\frac{116}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{30}{11} and \frac{116}{5} to fractions with denominator 55.

$$\frac{150}{55}+\frac{1276}{55}$$

Since \frac{150}{55} and \frac{1276}{55} have the same denominator, add them by adding their numerators.

$$\frac{150+1276}{55}$$

Add 150 and 1276 to get 1426.

$$\frac{1426}{55}$$

Factor

$$\frac{2 \cdot 23 \cdot 31}{5 \cdot 11} = 25\frac{51}{55} = 25.927272727272726$$