To convert the decimal 8.2 to a fraction, you can follow these steps:
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Separate the whole number and the decimal part: The whole number is 8, and the decimal part is 0.2.
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Convert the decimal part to a fraction: The decimal 0.2 is equivalent to \( \frac{2}{10} \).
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Simplify the fraction: \( \frac{2}{10} \) can be simplified by dividing the numerator and the denominator by their greatest common divisor (which is 2): \[ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \]
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Combine the whole number and the fraction: You can express the number as: \[ 8 + \frac{1}{5} = \frac{8 \cdot 5}{5} + \frac{1}{5} = \frac{40}{5} + \frac{1}{5} = \frac{41}{5} \]
So, the decimal 8.2 as a fraction is \( \frac{41}{5} \).