To simplify the expression \( \frac{4}{18} + \frac{5}{32} \), follow these steps:
1. Find a common denominator for the fractions, which in this case is 288 (since 18 x 16 = 288 and 32 x 9 = 288).
2. Rewrite the fractions with the common denominator:
\( \frac{4}{18} = \frac{64}{288} \) and \( \frac{5}{32} = \frac{45}{288} \).
3. Add the two fractions together:
\( \frac{64}{288} + \frac{45}{288} = \frac{64 + 45}{288} = \frac{109}{288} \).
Therefore, the simplified expression is \( \frac{109}{288} \).
