Subjects algebra

Percent Conversion 75D5Fa

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1. **State the problem:** Convert 338% to a fraction and a decimal. 2. **Recall the formula:** Percent means per hundred, so $$\text{Percent} = \frac{\text{Number}}{100}$$ 3. **Convert percent to fraction:** $$338\% = \frac{338}{100}$$ 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 338 and 100, which is 2. $$\frac{\cancel{338}^{169}}{\cancel{100}^{50}} = \frac{169}{50}$$ 5. **Convert fraction to decimal:** Divide numerator by denominator: $$\frac{169}{50} = 3.38$$ **Final answers:** - Fraction: $\frac{169}{50}$ - Decimal: $3.38$