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Express 8.21 as a mixed number.

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Express 8.218.21 as a mixed number.\newline

Full solution

Q. Express 8.218.21 as a mixed number.\newline
  1. Identify Whole and Fractional Parts: To express the decimal 8.218.21 as a mixed number, we first identify the whole number part and the fractional part. The whole number part is the number to the left of the decimal point, which is 88. The fractional part is the number to the right of the decimal point, which is 2121. Since the decimal has two digits after the decimal point, the fractional part is out of 100100, making it 21100\frac{21}{100}.
  2. Simplify Fraction 21100\frac{21}{100}: Next, we simplify the fraction 21100\frac{21}{100} if possible. We look for the greatest common divisor (GCD) of 2121 and 100100. The GCD of 2121 and 100100 is 11, which means the fraction is already in its simplest form.
  3. Combine Whole and Fractional Parts: Now we combine the whole number part and the simplified fractional part to write the mixed number. The mixed number is 88 and 21100\frac{21}{100}.

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