To solve \( 5 \frac{3}{5} - 4 \frac{1}{5} \), we can first convert the mixed numbers into improper fractions.
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Convert \( 5 \frac{3}{5} \): \[ 5 \frac{3}{5} = \left(5 \times 5 + 3\right) / 5 = \frac{25 + 3}{5} = \frac{28}{5} \]
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Convert \( 4 \frac{1}{5} \): \[ 4 \frac{1}{5} = \left(4 \times 5 + 1\right) / 5 = \frac{20 + 1}{5} = \frac{21}{5} \]
Now we can perform the subtraction with the improper fractions: \[ \frac{28}{5} - \frac{21}{5} = \frac{28 - 21}{5} = \frac{7}{5} \]
Finally, we can convert \( \frac{7}{5} \) back to a mixed number: \[ \frac{7}{5} = 1 \frac{2}{5} \]
Therefore, the result of \( 5 \frac{3}{5} - 4 \frac{1}{5} \) is: \[ \boxed{1 \frac{2}{5}} \]
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