First, simplify the numerator of the fraction:
\[ 11029 + 63484 = 74513 \]
Next, simplify the denominator of the fraction:
\[ 40619 + 38198 = 78817 \]
Now, form the fraction with the simplified numerator and denominator:
\[ \frac{74513}{78817} \]
Check if the fraction can be reduced. Since 74513 and 78817 have no common factors other than 1, the fraction is already in its simplest form.
The simplified fraction is:
\[ \boxed{\frac{74513}{78817}} \]
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