Solve 3/20-(-203/18)

$$\frac{ 3 }{ 20 } -(- \frac{ 203 }{ 18 } )$$

Evaluate

$$\frac{2057}{180}\approx 11.427777778$$

Solution Steps

The opposite of -\frac{203}{18} is \frac{203}{18}.

$$\frac{3}{20}+\frac{203}{18}$$

Least common multiple of 20 and 18 is 180. Convert \frac{3}{20} and \frac{203}{18} to fractions with denominator 180.

$$\frac{27}{180}+\frac{2030}{180}$$

Since \frac{27}{180} and \frac{2030}{180} have the same denominator, add them by adding their numerators.

$$\frac{27+2030}{180}$$

Add 27 and 2030 to get 2057.

$$\frac{2057}{180}$$

Factor

$$\frac{11 ^ {2} \cdot 17}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 11\frac{77}{180} = 11.427777777777777$$