1. **State the problem:** We need to fill in the missing decimal and percentage values in the chart for the given fractions and decimals. 2. **Recall the formulas:** - To convert a fraction to a decimal, divide the numerator by the denominator: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$ - To convert a decimal to a percentage, multiply by 100: $$\text{Percentage} = \text{Decimal} \times 100\%$$ - To convert a percentage to a decimal, divide by 100: $$\text{Decimal} = \frac{\text{Percentage}}{100}$$ 3. **Fill in the decimal for 1/10:** $$\frac{1}{10} = 0.1$$ 4. **Convert 1/10 decimal to percentage:** $$0.1 \times 100\% = 10\%$$ 5. **Fill in the decimal for 3/5:** $$\frac{3}{5} = 0.6$$ 6. **Convert 3/5 decimal to percentage:** $$0.6 \times 100\% = 60\%$$ 7. **Convert 0.4 decimal to percentage:** $$0.4 \times 100\% = 40\%$$ 8. **Convert 15% percentage to decimal:** $$\frac{15}{100} = 0.15$$ 9. **Convert 0.15 decimal to fraction:** $$0.15 = \frac{15}{100} = \frac{3}{20}$$ **Final completed chart:** | Fraction | Decimal | Percentage | |----------|---------|------------| | 3/20 | 0.15 | 15% | | 0.4 | 0.4 | 40% | | 1/10 | 0.1 | 10% | | 3/5 | 0.6 | 60% |