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

Question

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

12225

Answer 1

To convert 12.8 to a fraction in simplest form, we can follow these steps:

1. Write 12.8 as a fraction:
   \( 12.8 = \frac{128}{10} \) (because there is one decimal place).

2. Simplify \( \frac{128}{10} \) by finding the greatest common divisor (GCD) of 128 and 10. The GCD is 2.

3. Divide both the numerator and the denominator by 2:
   \( \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \).

4. Finally, we express it as a mixed number:
   \( 12.8 = 12 \frac{4}{5} \).

So, the simplest fractional form of 12.8 is \( 12 \frac{4}{5} \).

Among the choices you provided, the correct response is:
12 Start Fraction 4 over 5 End Fraction.