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.
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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
Percent Conversion Fa1F2D
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