To express 164% as a fraction, you can follow these steps:
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Convert the percentage to a fraction: \[ 164% = \frac{164}{100} \]
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Simplify the fraction: To simplify \(\frac{164}{100}\), find the greatest common divisor (GCD) of 164 and 100. The GCD is 4. \[ \frac{164 \div 4}{100 \div 4} = \frac{41}{25} \]
So, as a fraction, \(164%\) can be written as \(\frac{41}{25}\).
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Convert to a mixed number: To convert \(\frac{41}{25}\) to a mixed number, divide the numerator by the denominator: \[ 41 \div 25 = 1 \quad \text{remainder } 16 \] Thus, \(\frac{41}{25} = 1 \frac{16}{25}\).
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Determine the whole number part: The whole number part of \(164%\) is 1.
To summarize:
- As a fraction: \(\frac{41}{25}\)
- As a mixed number: \(1 \frac{16}{25}\)
- As a whole number: \(1\) (noting that this is simply the integer part before the fraction).
In conclusion, \(164%\) can be represented as \(\frac{41}{25}\) in fraction form, \(1 \frac{16}{25}\) as a mixed number, and \(1\) as the whole number part.