Solve 1/8+1/2-1/9

$$\frac { 1 } { 8 } + \frac { 1 } { 2 } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{37}{72}\approx 0.513888889$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{1}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{1}{8}+\frac{4}{8}-\frac{1}{9}$$

Since \frac{1}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{8}-\frac{1}{9}$$

Add 1 and 4 to get 5.

$$\frac{5}{8}-\frac{1}{9}$$

Least common multiple of 8 and 9 is 72. Convert \frac{5}{8} and \frac{1}{9} to fractions with denominator 72.

$$\frac{45}{72}-\frac{8}{72}$$

Since \frac{45}{72} and \frac{8}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-8}{72}$$

Subtract 8 from 45 to get 37.

$$\frac{37}{72}$$

Factor

$$\frac{37}{2 ^ {3} \cdot 3 ^ {2}} = 0.5138888888888888$$