Without using a calculator, convert 0.6 to a simplified fraction.

Answer 1

To convert the decimal 0.6 to a fraction, we can express it as follows:

1. Write 0.6 as the fraction \(\frac{6}{10}\). This is because 0.6 means 6 tenths.

2. Next, simplify the fraction \(\frac{6}{10}\). To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 6 and 10 is 2.

3. Divide both the numerator and the denominator by their GCD:

\[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]

Therefore, the simplified fraction of 0.6 is \(\frac{3}{5}\).