Solve 5/8-1/9

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

Evaluate

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

Solution Steps

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

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