To convert the decimal 12.8 into a fraction, follow these steps:
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Write 12.8 as a fraction: \[ 12.8 = \frac{128}{10} \]
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Simplify the fraction:
- Both the numerator and the denominator can be divided by 2.
\[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]
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The fraction \(\frac{64}{5}\) is already in its simplest form.
Thus, 12.8 converted to a fraction in simplest form is \(\frac{64}{5}\).