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

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

Evaluate

$$\frac{17}{45}\approx 0.377777778$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{9}{15}-\frac{10}{15}+\frac{4}{9}$$

Since \frac{9}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-10}{15}+\frac{4}{9}$$

Subtract 10 from 9 to get -1.

$$-\frac{1}{15}+\frac{4}{9}$$

Least common multiple of 15 and 9 is 45. Convert -\frac{1}{15} and \frac{4}{9} to fractions with denominator 45.

$$-\frac{3}{45}+\frac{20}{45}$$

Since -\frac{3}{45} and \frac{20}{45} have the same denominator, add them by adding their numerators.

$$\frac{-3+20}{45}$$

Add -3 and 20 to get 17.

$$\frac{17}{45}$$

Factor

$$\frac{17}{3 ^ {2} \cdot 5} = 0.37777777777777777$$