Question

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

12225
12 Start Fraction 2 over 25 End Fraction

12810
12 Start Fraction 8 over 10 End Fraction

128
Start Fraction 12 over 8 End Fraction

1 answer

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

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

  2. Simplify the fraction \( \frac{128}{10} \):

    • Both the numerator and denominator can be divided by 2.
    • \( \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \).
  3. Therefore, we can express it as: \[ 12.8 = 12 \frac{4}{5} \]

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