Subjects algebra

Percent Decimal 4A77F2

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

Search Solutions

Percent Decimal 4A77F2


1. **State the problem:** Convert the mixed fractions given as percentages into decimal form. 2. **Convert 9 1/4 % to decimal:** - First, convert the mixed fraction 9 1/4 to an improper fraction: $$9 \frac{1}{4} = \frac{9 \times 4 + 1}{4} = \frac{37}{4}$$ - Then convert the fraction to a decimal: $$\frac{37}{4} = 9.25$$ - Since it is a percentage, convert to decimal by dividing by 100: $$9.25\% = \frac{9.25}{100} = 0.0925$$ 3. **Convert 8 7/8 % to decimal:** - Convert the mixed fraction 8 7/8 to an improper fraction: $$8 \frac{7}{8} = \frac{8 \times 8 + 7}{8} = \frac{71}{8}$$ - Convert the fraction to decimal: $$\frac{71}{8} = 8.875$$ - Convert percentage to decimal: $$8.875\% = \frac{8.875}{100} = 0.08875$$ **Final answers:** - 9 1/4 % = 0.0925 - 8 7/8 % = 0.08875