1. **Problem:** Convert the decimal 0.5 into a fraction. 2. **Formula and rules:** A decimal can be converted to a fraction by writing it over a power of 10 depending on the number of decimal places, then simplifying. 3. **Work:** - 0.5 has 1 decimal place, so write as $\frac{5}{10}$. - Simplify by dividing numerator and denominator by 5: $$\frac{\cancel{5}}{\cancel{10}} = \frac{1}{2}$$ 4. **Answer:** $0.5 = \frac{1}{2}$. --- 1. **Problem:** Convert the decimal 0.315 into a fraction. 2. **Work:** - 0.315 has 3 decimal places, so write as $\frac{315}{1000}$. - Simplify numerator and denominator by 5: $$\frac{\cancel{315}}{\cancel{1000}} = \frac{63}{200}$$ - Check if 63 and 200 have common factors: 63 factors are 7 and 9, 200 factors are 2 and 5, no common factors. 3. **Answer:** $0.315 = \frac{63}{200}$. --- 1. **Problem:** Convert the decimal 3 into a fraction. 2. **Work:** - 3 is a whole number, so write as $\frac{3}{1}$. 3. **Answer:** $3 = \frac{3}{1}$. --- **Summary:** - a) $0.5 = \frac{1}{2}$ - b) $0.315 = \frac{63}{200}$ - c) $3 = \frac{3}{1}$