Solve 3/75-1/45

$$\frac { 3 } { 75 } - \frac { 1 } { 45 }$$

Evaluate

$$\frac{4}{225}\approx 0.017777778$$

Solution Steps

Reduce the fraction \frac{3}{75} to lowest terms by extracting and canceling out 3.

$$\frac{1}{25}-\frac{1}{45}$$

Least common multiple of 25 and 45 is 225. Convert \frac{1}{25} and \frac{1}{45} to fractions with denominator 225.

$$\frac{9}{225}-\frac{5}{225}$$

Since \frac{9}{225} and \frac{5}{225} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{225}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{225}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2} \cdot 5 ^ {2}} = 0.017777777777777778$$