To express 0.32 as a simplified fraction, follow these steps:
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Write 0.32 as a fraction: \[ 0.32 = \frac{32}{100} \]
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Simplify the fraction:
- Both the numerator (32) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 4.
- Dividing both by 4: \[ \frac{32 \div 4}{100 \div 4} = \frac{8}{25} \]
So, the simplified fraction is \(\frac{8}{25}\).
However, looking at the original responses provided:
- 32 over 100 (not simplified)
- 16 over 100 (not correct)
- 16 fifths (not correct)
- 825 (not correct)
None of the options you provided accurately represent 0.32 as a simplified fraction.
The correct answer is \(\frac{8}{25}\), which is not listed among your response options.