Subjects algebra

Percent Conversion Fa1F2D

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1. Convert the percent 16 17/27 to decimal and fraction. 2. Convert the percent 53 13/21% to decimal and fraction. 3. Convert the decimal 9.138\overline{3} to percent and fraction. 4. Convert the fraction 237 1/101 to percent and decimal. 5. Convert the decimal 0.681 to percent and fraction. 6. Convert the fraction 9 11/14 to percent and decimal. 7. Convert the fraction 7/96 to percent and decimal. 8. Convert the percent 55 30/41% to decimal and fraction. 9. Convert the fraction 3 4861/30000 to percent and decimal. 10. Convert the decimal 0.0694 to percent and fraction. 11. Convert the decimal 0.1527 to percent and fraction. 12. Convert the percent 217 2761/3367% to decimal and fraction. 13. Convert the percent 723 17/21% to decimal and fraction. 14. Convert the decimal 0.87 to percent and fraction. 15. Convert the percent 43 7/13% to decimal and fraction. --- Let's solve the first problem completely: **Problem 1:** Convert the percent 16 17/27 to decimal and fraction. **Step 1:** Understand the problem. We need to convert the mixed number percent 16 17/27% into decimal and fraction forms. **Step 2:** Convert the mixed number percent to an improper fraction. $$16 \frac{17}{27} = \frac{16 \times 27 + 17}{27} = \frac{432 + 17}{27} = \frac{449}{27}$$ **Step 3:** Convert the percent to a decimal. Recall that percent means per hundred, so: $$16 \frac{17}{27}\% = \frac{449}{27} \times \frac{1}{100} = \frac{449}{2700}$$ To get the decimal, divide numerator by denominator: $$\frac{449}{2700} \approx 0.166296$$ **Step 4:** Convert the percent to a fraction (in simplest form). We already have: $$\frac{449}{2700}$$ Check for common factors: 449 is a prime number, so fraction is already in simplest form. **Final answers:** - Decimal: $0.166296$ - Fraction: $\frac{449}{2700}$ --- "slug": "percent conversion", "subject": "algebra", "desmos": {"latex": "y=0.166296", "features": {"intercepts": true, "extrema": true}}, "q_count": 15