Solve 11/12-5/13

$$\frac { 11 } { 12 } - \frac { 5 } { 13 }$$

Evaluate

$$\frac{83}{156}\approx 0.532051282$$

Solution Steps

Least common multiple of 12 and 13 is 156. Convert \frac{11}{12} and \frac{5}{13} to fractions with denominator 156.

$$\frac{143}{156}-\frac{60}{156}$$

Since \frac{143}{156} and \frac{60}{156} have the same denominator, subtract them by subtracting their numerators.

$$\frac{143-60}{156}$$

Subtract 60 from 143 to get 83.

$$\frac{83}{156}$$

Factor

$$\frac{83}{2 ^ {2} \cdot 3 \cdot 13} = 0.532051282051282$$