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

Responses

12 2/25
12 Start Fraction 2 over 25 End Fraction

12 4/5
12 Start Fraction 4 over 5 End Fraction

12/8
Start Fraction 12 over 8 End Fraction

12 8/10

1 answer

To convert 12.8 to a fraction, follow these steps:

  1. Separate the whole number and the decimal part:

    • The whole number is 12.
    • The decimal part is 0.8.
  2. Convert the decimal part (0.8) to a fraction:

    • 0.8 can be expressed as 8/10.
  3. Simplify the fraction:

    • The fraction 8/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2: \[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \]
  4. Combine the whole number and the simplified fraction:

    • 12 + 4/5 can be written as: \[ 12 \frac{4}{5} \]

So, the simplest form of 12.8 converted to a fraction is \( 12 \frac{4}{5} \).

Thus, the answer is: 12 4/5 or 12 Start Fraction 4 over 5 End Fraction.