Solve 19/60-8/45

$$\frac { 19 } { 60 } - \frac { 8 } { 45 }$$

Evaluate

$$\frac{5}{36}\approx 0.138888889$$

Solution Steps

Least common multiple of 60 and 45 is 180. Convert \frac{19}{60} and \frac{8}{45} to fractions with denominator 180.

$$\frac{57}{180}-\frac{32}{180}$$

Since \frac{57}{180} and \frac{32}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-32}{180}$$

Subtract 32 from 57 to get 25.

$$\frac{25}{180}$$

Reduce the fraction \frac{25}{180} to lowest terms by extracting and canceling out 5.

$$\frac{5}{36}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {2}} = 0.1388888888888889$$