To convert the decimal 12.8 to a fraction and express it in simplest form, follow these steps:
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Write the decimal as a fraction: \( 12.8 = \frac{128}{10} \) (since 12.8 can be interpreted as 128 tenths).
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Simplify the fraction: Both the numerator and denominator can be divided by their greatest common divisor, which is 2: \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]
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Express the fraction as a mixed number: \( \frac{64}{5} \) can be expressed as:
- 64 divided by 5 gives 12 with a remainder of 4. Thus, it can be written as: \[ 12 \frac{4}{5} \]
So, the simplest form of 12.8 as a fraction is \( 12 \frac{4}{5} \).
The correct answer from your options is: 12 Start Fraction 4 over 5 End Fraction.