Solve 6/45-1/9

$$\frac { 6 } { 45 } - \frac { 1 } { 9 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{6}{45} to lowest terms by extracting and canceling out 3.

$$\frac{2}{15}-\frac{1}{9}$$

Least common multiple of 15 and 9 is 45. Convert \frac{2}{15} and \frac{1}{9} to fractions with denominator 45.

$$\frac{6}{45}-\frac{5}{45}$$

Since \frac{6}{45} and \frac{5}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{45}$$

Subtract 5 from 6 to get 1.

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

Factor

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