How can we express 0.1 as a fraction?

To convert the decimal 0.1 into a fraction, we can follow a straightforward method:

  1. 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
  2. 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.
  3. 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.

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