4. Draw a line from each term to its example. \begin{tabular}{ll}\hline decompose \\ denominator \\ equivalent fractions \\ like denominators \\ numerator & \( \frac{1}{2}=\frac{5}{10} \) \\ \hline 5 & \( \frac{2}{3}=\frac{1}{3}+\frac{1}{3} \) \\ \hline\end{tabular}

To match each term with its corresponding example, we can analyze the definitions of the terms and the examples provided. 1. **Decompose**: This refers to breaking down a fraction into smaller parts. The example \( \frac{2}{3}=\frac{1}{3}+\frac{1}{3} \) illustrates this concept, as it shows how \( \frac{2}{3} \) can be expressed as the sum of two \( \frac{1}{3} \) fractions. 2. **Denominator**: This is the bottom part of a fraction that indicates how many equal parts the whole is divided into. There is no specific example provided for this term in the table. 3. **Equivalent fractions**: These are fractions that represent the same value. The example \( \frac{1}{2}=\frac{5}{10} \) demonstrates this, as both fractions are equal. 4. **Like denominators**: This refers to fractions that have the same denominator. There is no specific example provided for this term in the table. 5. **Numerator**: This is the top part of a fraction that indicates how many parts are being considered. There is no specific example provided for this term in the table. Now, we can draw the lines based on the matches: - **Decompose** → \( \frac{2}{3}=\frac{1}{3}+\frac{1}{3} \) - **Equivalent fractions** → \( \frac{1}{2}=\frac{5}{10} \) The other terms (denominator, like denominators, and numerator) do not have corresponding examples in the table. Thus, the final matches are: - Decompose: \( \frac{2}{3}=\frac{1}{3}+\frac{1}{3} \) - Equivalent fractions: \( \frac{1}{2}=\frac{5}{10} \)