Solve -3/4+1/5+2/9

$$- \frac { 3 } { 4 } + \frac { 1 } { 5 } + \frac { 2 } { 9 }$$

Evaluate

$$-\frac{59}{180}\approx -0.327777778$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert -\frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$-\frac{15}{20}+\frac{4}{20}+\frac{2}{9}$$

Since -\frac{15}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{-15+4}{20}+\frac{2}{9}$$

Add -15 and 4 to get -11.

$$-\frac{11}{20}+\frac{2}{9}$$

Least common multiple of 20 and 9 is 180. Convert -\frac{11}{20} and \frac{2}{9} to fractions with denominator 180.

$$-\frac{99}{180}+\frac{40}{180}$$

Since -\frac{99}{180} and \frac{40}{180} have the same denominator, add them by adding their numerators.

$$\frac{-99+40}{180}$$

Add -99 and 40 to get -59.

$$-\frac{59}{180}$$

Factor

$$-\frac{59}{180} = -0.3277777777777778$$