5/14-2/17=

To solve \( \frac{5}{14} - \frac{2}{17} \), we first need to find a common denominator. The least common multiple (LCM) of 14 and 17 can be found by multiplying them together since they are coprime. The LCM is: \[ 14 \times 17 = 238 \] Next, we convert each fraction to have this common denominator: 1. For \( \frac{5}{14} \): \[ \frac{5}{14} = \frac{5 \times 17}{14 \times 17} = \frac{85}{238} \] 2. For \( \frac{2}{17} \): \[ \frac{2}{17} = \frac{2 \times 14}{17 \times 14} = \frac{28}{238} \] Now we can perform the subtraction: \[ \frac{85}{238} - \frac{28}{238} = \frac{85 - 28}{238} = \frac{57}{238} \] Thus, the result of \( \frac{5}{14} - \frac{2}{17} \) is: \[ \frac{57}{238} \]