0.2 in Its Simplest Form: A Step-by-Step Guide

0.2 is a decimal that can be simplified to a fraction. This means that we can find two whole numbers, a and b, such that 0.2 = a/b. The simplest form of a fraction is when a and b have no common factors other than 1.

Step 1: Convert the Decimal to a Fraction

To convert a decimal to a fraction, we write the decimal as a fraction with a denominator of 10^n, where n is the number of decimal places. In this case n=1, so we have 0.2 = 2/10.

Step 2: Simplify the Fraction

We can simplify the fraction 2/10 by dividing both the numerator and denominator by their greatest common factor, which is 2. This gives us 2/10 = 1/5.

Therefore, 0.2 in its simplest form is 1/5.

Conclusion

Simplifying 0.2 to its simplest form is a straightforward process that involves converting the decimal to a fraction and then simplifying the fraction. The simplest form of 0.2 is 1/5, which means that 0.2 is equivalent to the fraction one-fifth.

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