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

Responses

128
Start Fraction 12 over 8 End Fraction

1245
12 Start Fraction 4 over 5 End Fraction

12810
12 Start Fraction 8 over 10 End Fraction

12225

1 answer

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

\[ 12.8 = 12 + 0.8 \]

Next, we can convert 0.8 to a fraction. Since 0.8 is the same as 8/10, we can simplify it:

\[ 0.8 = \frac{8}{10} = \frac{4}{5} \]

Now we can combine it back with the whole number (12):

\[ 12.8 = 12 + \frac{4}{5} = \frac{12 \times 5}{5} + \frac{4}{5} = \frac{60}{5} + \frac{4}{5} = \frac{64}{5} \]

Thus, the simplest form of 12.8 as a fraction is:

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

However, in the responses you provided, none of them correctly represent 12.8 in simplest form. The closest match in form, though not correct, seems to be:

1245: 12 Start Fraction 4 over 5 End Fraction

This isn't accurate to what we derived, as \(12 + \frac{4}{5}\) = \( \frac{64}{5} \).

The answer should be \( \frac{64}{5} \).