5 4/17-4 13/17

To perform the subtraction of the mixed numbers \(5 \frac{4}{17}\) and \(4 \frac{13}{17}\), follow these steps:

1. Convert the mixed numbers to improper fractions.

   For \(5 \frac{4}{17}\): \[ 5 \frac{4}{17} = \frac{(5 \times 17) + 4}{17} = \frac{85 + 4}{17} = \frac{89}{17} \]

   For \(4 \frac{13}{17}\): \[ 4 \frac{13}{17} = \frac{(4 \times 17) + 13}{17} = \frac{68 + 13}{17} = \frac{81}{17} \]

2. Now subtract the improper fractions: \[ \frac{89}{17} - \frac{81}{17} = \frac{89 - 81}{17} = \frac{8}{17} \]

3. The result is \(\frac{8}{17}\).

Since this is a proper fraction, we can also write it as:

The final result is \(\frac{8}{17}\).