Identify Whole and Fractional Parts: To express the decimal 8.21 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 8. The fractional part is the number to the right of the decimal point, which is 21. Since the decimal has two digits after the decimal point, the fractional part is out of 100, making it 10021.
Simplify Fraction 10021: Next, we simplify the fraction10021 if possible. We look for the greatest common divisor (GCD) of 21 and 100. The GCD of 21 and 100 is 1, which means the fraction is already in its simplest form.
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 8 and 10021.
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