Sure, let's convert the decimal 0.1 to a fraction and reduce it to its lowest terms step by step.
1. First, understand that 0.1 means 1/10. This is because the digit 1 is in the tenths place.
[tex]\[ 0.1 = \frac{1}{10} \][/tex]
2. Now, let's check if the fraction can be simplified any further. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
3. The numerator is 1, and the denominator is 10. Since the GCD of 1 and any number is always 1, the fraction is already in its simplest form.
[tex]\[ \frac{1}{10} \][/tex]
Thus, the fraction form of 0.1, reduced to its lowest terms, is [tex]\(\frac{1}{10}\)[/tex].
