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

1245
12 Start Fraction 4 over 5 End Fraction

12225
12 Start Fraction 2 over 25 End Fraction

128

Answer 1

To convert the decimal 12.8 to a fraction, we can follow these steps:

1. Write 12.8 as a mixed number:
\[
12.8 = 12 + 0.8
\]

2. Convert 0.8 into a fraction:
\[
0.8 = \frac{8}{10}
\]
We can simplify this:
\[
\frac{8}{10} = \frac{4}{5} \quad (\text{dividing both the numerator and the denominator by 2})
\]

3. Now, we can combine the whole number and the simplified fraction:
\[
12.8 = 12 + \frac{4}{5} = \frac{12 \cdot 5 + 4}{5} = \frac{60 + 4}{5} = \frac{64}{5}
\]

Thus, 12.8 as a fraction in simplest form is
\[
\frac{64}{5}
\]

Since this answer does not match any of the provided options, it's possible you might be looking for a specific format. However, if we break down the options given:

- **12810** is not a fraction.
- **12 Start Fraction 8 over 10 End Fraction:** This simplifies to \(\frac{64}{5}\).
- **1245** is not a fraction.
- **12 Start Fraction 4 over 5 End Fraction:** This simplifies to \(12 + \frac{4}{5}\), which also leads us back to \(\frac{64}{5}\).
- **12225** is not a fraction.
- **128** is not a fraction.

Given that, while the direct simplified form is \(\frac{64}{5}\), the most relevant options based on mixed-number representation are **12 Start Fraction 4 over 5 End Fraction** because this aligns with our process of simplification leading to the correct total representation of the decimal as a fraction.

Thus, the correct answer reflecting the conversion of 12.8 into a fraction in the simplest form is **12 Start Fraction 4 over 5 End Fraction**—which leads indirectly to \(\frac{64}{5}\).