Solve 1/8-1/9

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

Evaluate

$$\frac{1}{72}\approx 0.013888889$$

Solution Steps

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

$$\frac{9}{72}-\frac{8}{72}$$

Since \frac{9}{72} and \frac{8}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-8}{72}$$

Subtract 8 from 9 to get 1.

$$\frac{1}{72}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0.013888888888888888$$