\begin{tabular}{l} Hey! It's Güb, your friend! Let's play a math game \\ together. It's called "Rewriting Expressions". \\ We have to find different ways to rewrite an expression. \\ Rewrite the expression \( 9 \frac{3}{4} x+5 \frac{1}{4}-5 \frac{1}{4} \) \\ \hline\end{tabular}

To rewrite the expression \( 9 \frac{3}{4} x + 5 \frac{1}{4} - 5 \frac{1}{4} \), we can follow these steps: 1. **Convert mixed numbers to improper fractions**: - The mixed number \( 9 \frac{3}{4} \) can be converted to an improper fraction: \[ 9 \frac{3}{4} = \frac{9 \times 4 + 3}{4} = \frac{36 + 3}{4} = \frac{39}{4} \] - The mixed number \( 5 \frac{1}{4} \) can also be converted: \[ 5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \] 2. **Substitute the improper fractions back into the expression**: The expression now looks like: \[ \frac{39}{4} x + \frac{21}{4} - \frac{21}{4} \] 3. **Simplify the expression**: Notice that \( \frac{21}{4} - \frac{21}{4} = 0 \). Therefore, the expression simplifies to: \[ \frac{39}{4} x + 0 = \frac{39}{4} x \] 4. **Final expression**: The rewritten expression is: \[ \frac{39}{4} x \] Thus, the expression \( 9 \frac{3}{4} x + 5 \frac{1}{4} - 5 \frac{1}{4} \) can be rewritten as \( \frac{39}{4} x \).