Solve 1/5+1/9-1/5*9

$$\frac { 1 } { 5 } + \frac { 1 } { 9 } - \frac { 1 } { 5 \times 9 }$$

Evaluate

$$\frac{13}{45}\approx 0.288888889$$

Solution Steps

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

$$\frac{9}{45}+\frac{5}{45}-\frac{1}{5\times 9}$$

Since \frac{9}{45} and \frac{5}{45} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{45}-\frac{1}{5\times 9}$$

Add 9 and 5 to get 14.

$$\frac{14}{45}-\frac{1}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$\frac{14}{45}-\frac{1}{45}$$

Since \frac{14}{45} and \frac{1}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-1}{45}$$

Subtract 1 from 14 to get 13.

$$\frac{13}{45}$$

Factor

$$\frac{13}{3 ^ {2} \cdot 5} = 0.28888888888888886$$