Solve 12/5-5/13

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

Evaluate

$$\frac{131}{65}\approx 2.015384615$$

Solution Steps

Least common multiple of 5 and 13 is 65. Convert \frac{12}{5} and \frac{5}{13} to fractions with denominator 65.

$$\frac{156}{65}-\frac{25}{65}$$

Since \frac{156}{65} and \frac{25}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{156-25}{65}$$

Subtract 25 from 156 to get 131.

$$\frac{131}{65}$$

Factor

$$\frac{131}{5 \cdot 13} = 2\frac{1}{65} = 2.0153846153846153$$