Solve 7/8+1/9-7/72

$$\frac{ 7 }{ 8 } + \frac{ 1 }{ 9 } - \frac{ 7 }{ 72 }$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

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

$$\frac{63}{72}+\frac{8}{72}-\frac{7}{72}$$

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

$$\frac{63+8}{72}-\frac{7}{72}$$

Add 63 and 8 to get 71.

$$\frac{71}{72}-\frac{7}{72}$$

Since \frac{71}{72} and \frac{7}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-7}{72}$$

Subtract 7 from 71 to get 64.

$$\frac{64}{72}$$

Reduce the fraction \frac{64}{72} to lowest terms by extracting and canceling out 8.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$