Subjects algebra

Percentage Conversion Cd0A20

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1. **State the problem:** Convert the mixed number percentages $3\ 7/8\%$ and $4\ 3/8\%$ into decimal form. 2. **Recall the formula:** To convert a mixed number percentage to a decimal, first convert the mixed number to an improper fraction, then divide by 100. 3. **Convert $3\ 7/8\%$:** - Convert the mixed number to an improper fraction: $$3\ 7/8 = \frac{3 \times 8 + 7}{8} = \frac{24 + 7}{8} = \frac{31}{8}$$ - Convert percentage to decimal: $$\frac{31}{8} \% = \frac{31}{8} \times \frac{1}{100} = \frac{31}{8 \times 100} = \frac{31}{800}$$ - Calculate decimal value: $$\frac{31}{800} = 0.03875$$ 4. **Convert $4\ 3/8\%$:** - Convert the mixed number to an improper fraction: $$4\ 3/8 = \frac{4 \times 8 + 3}{8} = \frac{32 + 3}{8} = \frac{35}{8}$$ - Convert percentage to decimal: $$\frac{35}{8} \% = \frac{35}{8} \times \frac{1}{100} = \frac{35}{800}$$ - Calculate decimal value: $$\frac{35}{800} = 0.04375$$ **Final answers:** - $3\ 7/8\% = 0.03875$ - $4\ 3/8\% = 0.04375$