Identify Number Parts: Identify the whole number and the decimal part of the number 11.63. The whole number is the part before the decimal point, which is 11. The decimal part is the part after the decimal point, which is .63.
Convert to Fraction: Convert the decimal part to a fraction.To convert .63 to a fraction, we recognize that it is the same as 63 hundredths, which can be written as 10063. This fraction can be simplified by finding the greatest common divisor (GCD) of 63 and 100.
Simplify Fraction: Simplify the fraction 10063. The GCD of 63 and 100 is 1, so the fraction 10063 is already in its simplest form.
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 11 and 10063.
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