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Verified Answer :

first way: To transform into an improper fraction just follow a practical process:

Repeat the denominator and multiply its value with the integer part and sum with the numerator.

\(1 \frac{3}{5} = \frac{5*1+3}{5} = \frac{5+3}{5} = \boxed{\boxed{\frac{8}{5}}} \end{array}}\qquad\quad\checkmark\)

second way: Let's sum the whole part with the fractional part and then do the least common multiple, then solve and find the solution.

\(1 + \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \boxed{\boxed{\frac{8}{5} }}\end{array}}\qquad\quad\checkmark\)