To determine if \( \frac{55}{69} \) is the same as \( \frac{44}{55} \), we can cross-multiply to compare the two fractions.
Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction:
\[ 55 \times 55 \quad \text{and} \quad 44 \times 69 \]
Calculating these:
- \( 55 \times 55 = 3025 \)
- \( 44 \times 69 = 3036 \)
Since \( 3025 \) is not equal to \( 3036 \), we conclude that:
\[ \frac{55}{69} \neq \frac{44}{55} \]
Therefore, \( \frac{55}{69} \) is not the same as \( \frac{44}{55} \).