Solve 4/9-3/20=

$$\frac { 4 } { 9 } - \frac { 3 } { 20 } =$$

Evaluate

$$\frac{53}{180}\approx 0.294444444$$

Solution Steps

Least common multiple of 9 and 20 is 180. Convert \frac{4}{9} and \frac{3}{20} to fractions with denominator 180.

$$\frac{80}{180}-\frac{27}{180}$$

Since \frac{80}{180} and \frac{27}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-27}{180}$$

Subtract 27 from 80 to get 53.

$$\frac{53}{180}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0.29444444444444445$$