Solve 5/8-2/9

$$\frac { 5 } { 8 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{29}{72}\approx 0.402777778$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{5}{8} and \frac{2}{9} to fractions with denominator 72.

$$\frac{45}{72}-\frac{16}{72}$$

Since \frac{45}{72} and \frac{16}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-16}{72}$$

Subtract 16 from 45 to get 29.

$$\frac{29}{72}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3 ^ {2}} = 0.4027777777777778$$