Solve -2/9+1/5-7/18

$$- \frac { 2 } { 9 } + \frac { 1 } { 5 } - \frac { 7 } { 18 }$$

Evaluate

$$-\frac{37}{90}\approx -0.411111111$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert -\frac{2}{9} and \frac{1}{5} to fractions with denominator 45.

$$-\frac{10}{45}+\frac{9}{45}-\frac{7}{18}$$

Since -\frac{10}{45} and \frac{9}{45} have the same denominator, add them by adding their numerators.

$$\frac{-10+9}{45}-\frac{7}{18}$$

Add -10 and 9 to get -1.

$$-\frac{1}{45}-\frac{7}{18}$$

Least common multiple of 45 and 18 is 90. Convert -\frac{1}{45} and \frac{7}{18} to fractions with denominator 90.

$$-\frac{2}{90}-\frac{35}{90}$$

Since -\frac{2}{90} and \frac{35}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-35}{90}$$

Subtract 35 from -2 to get -37.

$$-\frac{37}{90}$$

Factor

$$-\frac{37}{90} = -0.4111111111111111$$