What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point)

Responses

1245
12 Start Fraction 4 over 5 End Fraction

128
Start Fraction 12 over 8 End Fraction

12225
12 Start Fraction 2 over 25 End Fraction

12810

1 answer

To convert 12.8 to a fraction, first express it as:

\[ 12.8 = 12 + 0.8 \]

Next, convert \( 0.8 \) to a fraction. The decimal \( 0.8 \) can be written as:

\[ 0.8 = \frac{8}{10} \]

Now, simplify \( \frac{8}{10} \) by dividing both the numerator and the denominator by their greatest common divisor (which is 2):

\[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \]

Now, combine the whole number and fraction:

\[ 12 + \frac{4}{5} = \frac{12 \cdot 5}{5} + \frac{4}{5} = \frac{60}{5} + \frac{4}{5} = \frac{64}{5} \]

Thus, 12.8 as a fraction in simplest form is:

\[ \frac{64}{5} \]

However, checking the provided response options:

  • 12 Start Fraction 4 over 5 End Fraction

This format represents \( 12 \frac{4}{5} \), which is the same as \( \frac{64}{5} \).

Therefore, the correct answer is:

12 Start Fraction 4 over 5 End Fraction

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