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Express 11.63 as a mixed number.

Express 1111.6363 as a mixed number.

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Q. Express 1111.6363 as a mixed number.
  1. Identify Number Parts: Identify the whole number and the decimal part of the number 11.6311.63. The whole number is the part before the decimal point, which is 1111. The decimal part is the part after the decimal point, which is .63.63.
  2. Convert to Fraction: Convert the decimal part to a fraction.\newlineTo convert .63.63 to a fraction, we recognize that it is the same as 6363 hundredths, which can be written as 63100\frac{63}{100}. This fraction can be simplified by finding the greatest common divisor (GCD) of 6363 and 100100.
  3. Simplify Fraction: Simplify the fraction 63100\frac{63}{100}. The GCD of 6363 and 100100 is 11, so the fraction 63100\frac{63}{100} is already in its simplest form.
  4. Form Mixed Number: Combine the whole number and the simplified fraction to form a mixed number. The mixed number is the whole number plus the fraction, so we have 1111 and 63100\frac{63}{100}.

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