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

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

Evaluate

$$\frac{139}{180}\approx 0.772222222$$

Solution Steps

Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{2}{9} to fractions with denominator 36.

$$\frac{27}{36}+\frac{8}{36}-\frac{1}{5}$$

Since \frac{27}{36} and \frac{8}{36} have the same denominator, add them by adding their numerators.

$$\frac{27+8}{36}-\frac{1}{5}$$

Add 27 and 8 to get 35.

$$\frac{35}{36}-\frac{1}{5}$$

Least common multiple of 36 and 5 is 180. Convert \frac{35}{36} and \frac{1}{5} to fractions with denominator 180.

$$\frac{175}{180}-\frac{36}{180}$$

Since \frac{175}{180} and \frac{36}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{175-36}{180}$$

Subtract 36 from 175 to get 139.

$$\frac{139}{180}$$

Factor

$$\frac{139}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0.7722222222222223$$