Solve 20/225-1/15

$$\frac { 20 } { 225 } - \frac { 1 } { 15 }$$

Evaluate

$$\frac{1}{45}\approx 0.022222222$$

Solution Steps

Reduce the fraction \frac{20}{225} to lowest terms by extracting and canceling out 5.

$$\frac{4}{45}-\frac{1}{15}$$

Least common multiple of 45 and 15 is 45. Convert \frac{4}{45} and \frac{1}{15} to fractions with denominator 45.

$$\frac{4}{45}-\frac{3}{45}$$

Since \frac{4}{45} and \frac{3}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{45}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{45}$$

Factor

$$\frac{1}{3 ^ {2} \cdot 5} = 0.022222222222222223$$