Solve 13/21-5/14

$$\frac { 13 } { 21 } - \frac { 5 } { 14 }$$

Evaluate

$$\frac{11}{42}\approx 0.261904762$$

Solution Steps

Least common multiple of 21 and 14 is 42. Convert \frac{13}{21} and \frac{5}{14} to fractions with denominator 42.

$$\frac{26}{42}-\frac{15}{42}$$

Since \frac{26}{42} and \frac{15}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{42}$$

Subtract 15 from 26 to get 11.

$$\frac{11}{42}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 7} = 0.2619047619047619$$