Solve 1-1/8-1/9

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

Evaluate

$$\frac{55}{72}\approx 0.763888889$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

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

Since \frac{8}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 8 to get 7.

$$\frac{7}{8}-\frac{1}{9}$$

Least common multiple of 8 and 9 is 72. Convert \frac{7}{8} and \frac{1}{9} to fractions with denominator 72.

$$\frac{63}{72}-\frac{8}{72}$$

Since \frac{63}{72} and \frac{8}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-8}{72}$$

Subtract 8 from 63 to get 55.

$$\frac{55}{72}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3} \cdot 3 ^ {2}} = 0.7638888888888888$$