Converting 8 5/6 Percent to a Fraction
To convert 8 5/6 percent to a fraction, we need to follow these steps:
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Convert the mixed number to an improper fraction:
- Multiply the whole number (8) by the denominator of the fraction (6): 8 * 6 = 48
- Add the numerator (5) to the result: 48 + 5 = 53
- Keep the same denominator: 53/6
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Convert the percentage to a fraction:
- Percent means "out of one hundred," so 8 5/6 percent is equivalent to 8 5/6 / 100.
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Combine the fractions:
- We now have (53/6) / 100. Dividing by a number is the same as multiplying by its reciprocal. Therefore: (53/6) * (1/100)
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Simplify the fraction:
- Multiply the numerators: 53 * 1 = 53
- Multiply the denominators: 6 * 100 = 600
- The resulting fraction is 53/600.
Therefore, 8 5/6 percent is equivalent to 53/600 as a fraction.
