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

12810
12 Start Fraction 8 over 10 End Fraction

12225

1 answer

To convert 12.8 to a fraction, follow these steps:

  1. Write 12.8 as a fraction:
    \( 12.8 = \frac{128}{10} \) (since we can express 12.8 as 128 tenths).

  2. Simplify the fraction:
    Divide the numerator and denominator by their greatest common divisor (GCD).
    The GCD of 128 and 10 is 2. \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]

  3. Now we can write \( 12.8 \) as: \[ 12 \frac{4}{5} \]

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

Therefore, the correct response is: 12 Start Fraction 4 over 5 End Fraction.