Question

Without using a calculator, convert 0.8 to a simplified fraction.

Answer 1

To convert the decimal 0.8 to a fraction, we can follow these steps:

1. Recognize that 0.8 can be expressed as \(\frac{8}{10}\) because the digit 8 is in the tenths place.
2. Next, simplify the fraction \(\frac{8}{10}\). We can do this by finding the greatest common divisor (GCD) of 8 and 10, which is 2.
3. Now, divide both the numerator and the denominator by their GCD:

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

Thus, the decimal 0.8 converted to a simplified fraction is \(\frac{4}{5}\).