Subjects algebra

Percentage Calculation Aaeba4

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Percentage Calculation Aaeba4


1. **Stating the problem:** We need to calculate percentages using the formula $$\frac{\text{part}}{\text{whole}} \times 100$$ for each given fraction. 2. **Formula explanation:** The percentage formula converts a fraction or ratio into a percentage by dividing the part by the whole and multiplying by 100. 3. **Important rule:** To find the percentage, you must know both the numerator (part) and denominator (whole). Here, only denominators are given (/5, /11, /3, /5, /6), so we assume the numerator is 1 for demonstration. 4. **Calculations assuming numerator = 1:** - For /5 × 100: $$\frac{1}{5} \times 100 = 20\%$$ - For /11 × 100: $$\frac{1}{11} \times 100 \approx 9.09\%$$ - For /3 × 100: $$\frac{1}{3} \times 100 \approx 33.33\%$$ - For /5 × 100 (again): $$20\%$$ - For /6 × 100: $$\frac{1}{6} \times 100 \approx 16.67\%$$ 5. **Summary:** Each fraction divided by its denominator and multiplied by 100 gives the percentage value. Final answers: 20%, 9.09%, 33.33%, 20%, 16.67%.