To convert the decimal 0.25 to a fraction, we first recognize that 0.25 can be expressed as:
\[ 0.25 = \frac{25}{100} \]
Next, we need to simplify the fraction \(\frac{25}{100}\). We can do this by finding the greatest common divisor (GCD) of the numerator (25) and the denominator (100).
The factors of 25 are \(1, 5, 25\), and the factors of 100 are \(1, 2, 4, 5, 10, 20, 25, 50, 100\). The largest common factor is 25.
Now we can divide both the numerator and denominator by their GCD, which is 25:
\[ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} \]
Thus, the simplified fraction form of 0.25 is:
\[ \frac{1}{4} \]
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