1. **Fill in the missing numbers:** **a)** Given $\frac{1}{4} = \frac{?}{100}$. We use the property of equivalent fractions: $\frac{a}{b} = \frac{c}{d}$ if $a \times d = b \times c$. So, $1 \times 100 = 4 \times ?$. This gives $100 = 4?$, so $? = \frac{100}{4} = 25$. **Answer:** $\frac{1}{4} = \frac{25}{100}$. **b)** Given $\frac{3}{8} = \frac{?}{32}$. Using the same property: $3 \times 32 = 8 \times ?$. So, $96 = 8?$ which means $? = \frac{96}{8} = 12$. **Answer:** $\frac{3}{8} = \frac{12}{32}$. 2. **Express the following percentages as fractions:** Recall that $x\% = \frac{x}{100}$. **a)** $24\% = \frac{24}{100} = \frac{6}{25}$ after dividing numerator and denominator by 4. **b)** $12\% = \frac{12}{100} = \frac{3}{25}$ after dividing by 4. **c)** $14\% = \frac{14}{100} = \frac{7}{50}$ after dividing by 2. **d)** $10\% = \frac{10}{100} = \frac{1}{10}$ after dividing by 10. 3. **Express the fractions as percentages:** Recall that $\text{percentage} = \frac{\text{numerator}}{\text{denominator}} \times 100\%$. **a)** $\frac{3}{5} = \frac{3}{5} \times 100\% = 60\%$. **b)** $\frac{7}{25} = \frac{7}{25} \times 100\% = 28\%$. **c)** $\frac{1}{2} = \frac{1}{2} \times 100\% = 50\%$. **Summary:** $\frac{1}{4} = \frac{25}{100}$ $\frac{3}{8} = \frac{12}{32}$ $24\% = \frac{6}{25}$, $12\% = \frac{3}{25}$, $14\% = \frac{7}{50}$, $10\% = \frac{1}{10}$ $\frac{3}{5} = 60\%$, $\frac{7}{25} = 28\%$, $\frac{1}{2} = 50\%$