What is 10 1/2% written as a fraction in simplest form?(1 point) Responses 1012 10 Start Fraction 1 over 2 End Fraction 212 Start Fraction 21 over 2 End Fraction 10.5100 Start Fraction 10.5 over 100 End Fraction 21/200

1 answer

To convert 10 1/2% to a fraction in simplest form, first express it as a mixed number and then as an improper fraction.

  1. Convert 10 1/2% to an improper fraction:

    • 10 1/2 can be converted to an improper fraction: \[ 10 \frac{1}{2} = \frac{21}{2} \]
  2. Now convert this percentage to a fraction:

    • As a percentage, we divide by 100: \[ 10 \frac{1}{2} % = \frac{21/2}{100} = \frac{21}{2 \times 100} = \frac{21}{200} \]
  3. The fraction \(\frac{21}{200}\) is already in simplest form as 21 and 200 have no common factors other than 1.

Therefore, 10 1/2% as a fraction in simplest form is \(\textbf{21/200}\).

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