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:

\[ \frac{57}{238} \]