To simplify the expression \( \frac{103}{5} : \frac{33}{5} \), you can rewrite the division as multiplication by the reciprocal:
\[ \frac{103}{5} \div \frac{33}{5} = \frac{103}{5} \times \frac{5}{33} \]
Now, you can simplify \( \frac{5}{5} \):
\[ = \frac{103 \times 1}{33} = \frac{103}{33} \]
Now, if you want to divide 103 by 33, we can calculate:
\[ 103 \div 33 \approx 3.1212 \]
So the simplified form of the original expression is:
\[ \frac{103}{33} \text{ or approximately } 3.12 \]