1. **Stating the problem:** Convert the given fractions and mixed numbers to decimals and percentages. 2. **Formula and rules:** - To convert a fraction $\frac{a}{b}$ to a decimal, divide $a$ by $b$: $$\text{Decimal} = \frac{a}{b}$$ - To convert a decimal to a percentage, multiply by 100: $$\text{Percentage} = \text{Decimal} \times 100\%$$ - For mixed numbers $m \frac{a}{b}$, convert to improper fraction first: $$m \frac{a}{b} = \frac{bm + a}{b}$$ then convert as above. 3. **Calculations for missing values:** - k. $\frac{7}{8}$ decimal: $$\frac{7}{8} = 0.875$$ percentage: $$0.875 \times 100 = 87.5\%$$ - c. $\frac{5}{2}$ decimal: $$\frac{5}{2} = 2.5$$ percentage: $$2.5 \times 100 = 250\%$$ - g. $\frac{9}{7}$ decimal: $$\frac{9}{7} \approx 1.2857$$ percentage: $$1.2857 \times 100 \approx 128.57\%$$ - j. $\frac{11}{9}$ decimal: $$\frac{11}{9} \approx 1.2222$$ percentage: $$1.2222 \times 100 \approx 122.22\%$$ - k. $\frac{13}{9}$ decimal: $$\frac{13}{9} \approx 1.4444$$ percentage: $$1.4444 \times 100 \approx 144.44\%$$ 4. **Mixed numbers conversions:** - $1 \frac{1}{3}$ decimal: $$1 + \frac{1}{3} = 1 + 0.3333 = 1.3333$$ percentage: $$1.3333 \times 100 = 133.33\%$$ - $1 \frac{2}{3}$ decimal: $$1 + \frac{2}{3} = 1 + 0.6667 = 1.6667$$ percentage: $$1.6667 \times 100 = 166.67\%$$ - $3 \frac{2}{9}$ decimal: $$3 + \frac{2}{9} = 3 + 0.2222 = 3.2222$$ percentage: $$3.2222 \times 100 = 322.22\%$$ - $2 \frac{3}{4}$ decimal: $$2 + \frac{3}{4} = 2 + 0.75 = 2.75$$ percentage: $$2.75 \times 100 = 275\%$$ - $1 \frac{3}{8}$ decimal: $$1 + \frac{3}{8} = 1 + 0.375 = 1.375$$ percentage: $$1.375 \times 100 = 137.5\%$$ - $1 \frac{7}{8}$ decimal: $$1 + \frac{7}{8} = 1 + 0.875 = 1.875$$ percentage: $$1.875 \times 100 = 187.5\%$$ - $2 \frac{5}{7}$ decimal: $$2 + \frac{5}{7} = 2 + 0.7143 = 2.7143$$ percentage: $$2.7143 \times 100 = 271.43\%$$ **Final answers:** - k. $\frac{7}{8} = 0.875 = 87.5\%$ - c. $\frac{5}{2} = 2.5 = 250\%$ - g. $\frac{9}{7} \approx 1.29 = 128.57\%$ - j. $\frac{11}{9} \approx 1.22 = 122.22\%$ - k. $\frac{13}{9} \approx 1.44 = 144.44\%$ - $1 \frac{1}{3} = 1.33 = 133.33\%$ - $1 \frac{2}{3} = 1.67 = 166.67\%$ - $3 \frac{2}{9} = 3.22 = 322.22\%$ - $2 \frac{3}{4} = 2.75 = 275\%$ - $1 \frac{3}{8} = 1.38 = 137.5\%$ - $1 \frac{7}{8} = 1.88 = 187.5\%$ - $2 \frac{5}{7} = 2.71 = 271.43\%$