The movement of the progress bar may be uneven becouse questions can be worth more or less (including zero) depending on your onswer. Determine whether the proportions on the left are true or false, and match them with the correct response on the right. \( \begin{array}{l}\frac{2}{3}=\frac{30}{45} \\ \frac{1}{5}=\frac{4}{25} \\ \frac{7}{12}=\frac{35}{60} \\ \frac{3}{4}=\frac{36}{44}\end{array} \) False

Let's evaluate each proportion to determine whether it is **True** or **False**. ### 1. \( \frac{2}{3} = \frac{30}{45} \) - **Simplify \( \frac{30}{45} \):** \[ \frac{30 \div 15}{45 \div 15} = \frac{2}{3} \] - **Conclusion:** \[ \frac{2}{3} = \frac{2}{3} \quad \text{→ True} \] --- ### 2. \( \frac{1}{5} = \frac{4}{25} \) - **Simplify \( \frac{4}{25} \):** \[ \frac{4}{25} = 0.16 \quad \text{and} \quad \frac{1}{5} = 0.20 \] - **Conclusion:** \[ 0.20 \neq 0.16 \quad \text{→ False} \] --- ### 3. \( \frac{7}{12} = \frac{35}{60} \) - **Simplify \( \frac{35}{60} \):** \[ \frac{35 \div 5}{60 \div 5} = \frac{7}{12} \] - **Conclusion:** \[ \frac{7}{12} = \frac{7}{12} \quad \text{→ True} \] --- ### 4. \( \frac{3}{4} = \frac{36}{44} \) - **Simplify \( \frac{36}{44} \):** \[ \frac{36 \div 4}{44 \div 4} = \frac{9}{11} \approx 0.818 \] \[ \frac{3}{4} = 0.75 \] - **Conclusion:** \[ 0.75 \neq 0.818 \quad \text{→ False} \] --- ### **Summary** | Proportion | Evaluation | |-----------------------------|------------| | \( \frac{2}{3} = \frac{30}{45} \) | **True** | | \( \frac{1}{5} = \frac{4}{25} \) | **False** | | \( \frac{7}{12} = \frac{35}{60} \) | **True** | | \( \frac{3}{4} = \frac{36}{44} \) | **False** |