Solve 2/3-2/13

$$\frac { 2 } { 3 } - \frac { 2 } { 13 }$$

Evaluate

$$\frac{20}{39}\approx 0.512820513$$

Solution Steps

Least common multiple of 3 and 13 is 39. Convert \frac{2}{3} and \frac{2}{13} to fractions with denominator 39.

$$\frac{26}{39}-\frac{6}{39}$$

Since \frac{26}{39} and \frac{6}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-6}{39}$$

Subtract 6 from 26 to get 20.

$$\frac{20}{39}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 13} = 0.5128205128205128$$