Solve 4/9-3/8

$$\frac { 4 } { 9 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{5}{72}\approx 0.069444444$$

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{4}{9} and \frac{3}{8} to fractions with denominator 72.

$$\frac{32}{72}-\frac{27}{72}$$

Since \frac{32}{72} and \frac{27}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-27}{72}$$

Subtract 27 from 32 to get 5.

$$\frac{5}{72}$$

Factor

$$\frac{5}{2 ^ {3} \cdot 3 ^ {2}} = 0.06944444444444445$$