To convert 12.8 to a fraction, follow these steps:
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Convert 12.8 to a fraction:
The whole number part is 12, and the decimal part (0.8) can be represented as a fraction: \[ 0.8 = \frac{8}{10} = \frac{4}{5} \text{ (after simplifying)} \] -
Combine the whole number and the fraction: \[ 12.8 = 12 + 0.8 = 12 + \frac{4}{5} \]
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Convert the whole number to a fraction: The whole number 12 can be written as \(\frac{12 \times 5}{5} = \frac{60}{5}\).
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Add the two fractions together: \[ 12.8 = \frac{60}{5} + \frac{4}{5} = \frac{60 + 4}{5} = \frac{64}{5} \]
Final answer in simplest form: \[ \frac{64}{5} \]