Without using a calculator, convert 0.2 to a simplified fraction.

Answer 1

To convert the decimal \(0.2\) to a fraction, we can follow these steps:

1. Recognize that \(0.2\) can be expressed as \( \frac{2}{10} \) since there is one digit after the decimal point, meaning that it is in the tenths place.

2. Next, we simplify the fraction \( \frac{2}{10} \):

   • Both the numerator (2) and the denominator (10) can be divided by their greatest common divisor (GCD), which is 2.
   • Dividing both the numerator and the denominator by 2 gives us: \[ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \]

Thus, the simplified fraction representation of \(0.2\) is \( \frac{1}{5} \).