Solve 4/15-2/9

$$\frac { 4 } { 15 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{2}{45}\approx 0.044444444$$

Solution Steps

Least common multiple of 15 and 9 is 45. Convert \frac{4}{15} and \frac{2}{9} to fractions with denominator 45.

$$\frac{12}{45}-\frac{10}{45}$$

Since \frac{12}{45} and \frac{10}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-10}{45}$$

Subtract 10 from 12 to get 2.

$$\frac{2}{45}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5} = 0.044444444444444446$$