what si 0.8-- as a rational number

1 answer

The decimal \(0.8\) can be expressed as a rational number. A rational number is any number that can be expressed as the fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\).

To convert \(0.8\) into a fraction:

  1. Recognize that \(0.8\) is equal to \(\frac{8}{10}\).
  2. Simplify \(\frac{8}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\):

\[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \]

Therefore, \(0.8\) as a rational number is \(\frac{4}{5}\).