Question

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

12810
12 Start Fraction 8 over 10 End Fraction

128
Start Fraction 12 over 8 End Fraction

1245
12 Start Fraction 4 over 5 End Fraction

12 2/25

Answer 1

To convert 12.8 to a fraction, we first separate the whole number and the decimal part.

1. The whole number is 12.
2. The decimal part is 0.8, which can be written as a fraction:
- 0.8 = 8/10. This simplifies to 4/5 (by dividing both the numerator and the denominator by 2).

Now, we can combine these:

\[
12.8 = 12 + 0.8 = 12 + \frac{4}{5}
\]

To express this as an improper fraction, we convert the whole number 12 into a fraction:

\[
12 = \frac{12 \times 5}{5} = \frac{60}{5}
\]

Now, we add the two fractions:

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

Thus, 12.8 as a fraction in simplest form is:

\(\frac{64}{5}\)

Based on the responses you provided, none of them exactly match this answer. However, the closest interpretation of 12.8 would be **12 Start Fraction 4 over 5 End Fraction**, which represents the mixed number 12 4/5.

So, the best response from the options would be:

**12 Start Fraction 4 over 5 End Fraction**