To convert the decimal 0.1 into a fraction, we can follow a straightforward method:
- Recognize that 0.1 means one-tenth, which is the same as saying small portion of one whole. Therefore, we can express it as:
- 0.1 = 1/10
- Now, to verify that this fraction is in its simplest form:
- The numerator (1) and the denominator (10) share no common divisors other than 1.
- Thus, the fraction 1/10 is already simplified.
In conclusion, 0.1 can be represented as the fraction 1/10. This fraction is not only a direct representation of the decimal, but it also helps in better understanding its value in a mathematical context.