Solve 27+3div11+118-2div5

$$27+3 \div 11+118-2 \div 5$$

Evaluate

$$\frac{7968}{55}\approx 144.872727273$$

Solution Steps

Convert 27 to fraction \frac{297}{11}.

$$\frac{297}{11}+\frac{3}{11}+118-\frac{2}{5}$$

Since \frac{297}{11} and \frac{3}{11} have the same denominator, add them by adding their numerators.

$$\frac{297+3}{11}+118-\frac{2}{5}$$

Add 297 and 3 to get 300.

$$\frac{300}{11}+118-\frac{2}{5}$$

Convert 118 to fraction \frac{1298}{11}.

$$\frac{300}{11}+\frac{1298}{11}-\frac{2}{5}$$

Since \frac{300}{11} and \frac{1298}{11} have the same denominator, add them by adding their numerators.

$$\frac{300+1298}{11}-\frac{2}{5}$$

Add 300 and 1298 to get 1598.

$$\frac{1598}{11}-\frac{2}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{1598}{11} and \frac{2}{5} to fractions with denominator 55.

$$\frac{7990}{55}-\frac{22}{55}$$

Since \frac{7990}{55} and \frac{22}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7990-22}{55}$$

Subtract 22 from 7990 to get 7968.

$$\frac{7968}{55}$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 83}{5 \cdot 11} = 144\frac{48}{55} = 144.87272727272727$$