Solve 5/18+7/20-5/3

$$\frac { 5 } { 18 } + \frac { 7 } { 20 } - \frac { 5 } { 3 }$$

Evaluate

$$-\frac{187}{180}\approx -1.038888889$$

Solution Steps

Least common multiple of 18 and 20 is 180. Convert \frac{5}{18} and \frac{7}{20} to fractions with denominator 180.

$$\frac{50}{180}+\frac{63}{180}-\frac{5}{3}$$

Since \frac{50}{180} and \frac{63}{180} have the same denominator, add them by adding their numerators.

$$\frac{50+63}{180}-\frac{5}{3}$$

Add 50 and 63 to get 113.

$$\frac{113}{180}-\frac{5}{3}$$

Least common multiple of 180 and 3 is 180. Convert \frac{113}{180} and \frac{5}{3} to fractions with denominator 180.

$$\frac{113}{180}-\frac{300}{180}$$

Since \frac{113}{180} and \frac{300}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-300}{180}$$

Subtract 300 from 113 to get -187.

$$-\frac{187}{180}$$

Factor

$$-\frac{187}{180} = -1\frac{7}{180} = -1.038888888888889$$