What is 12.8 converted in a fraction make it simple

1 answer

To convert the decimal \( 12.8 \) into a fraction, follow these steps:

  1. Write \( 12.8 \) as a fraction: \[ 12.8 = \frac{128}{10} \]

  2. Simplify the fraction. To do this, find the greatest common divisor (GCD) of the numerator (128) and the denominator (10). The GCD is 2.

  3. Divide both the numerator and the denominator by their GCD: \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]

So, \( 12.8 \) can be expressed as the simplified fraction \( \frac{64}{5} \).