To rewrite the given improper fraction [tex]\(\frac{1}{2}\)[/tex], let's go through the following steps:
1. Analyze the Fraction: The given fraction is [tex]\(\frac{1}{2}\)[/tex], where the numerator is 1 and the denominator is 2.
2. Check the Form of the Fraction: An improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator. In this case, since 1 (the numerator) is less than 2 (the denominator), [tex]\(\frac{1}{2}\)[/tex] is not actually an improper fraction. It is a proper fraction.
3. Verify Simplification: To ensure the fraction is in its simplest form, we should check if the greatest common divisor (GCD) of the numerator and the denominator is 1. For [tex]\(\frac{1}{2}\)[/tex]:
- The numerator is 1.
- The denominator is 2.
- The GCD of 1 and 2 is 1.
Therefore, [tex]\(\frac{1}{2}\)[/tex] is already in its simplest form.
Thus, the rewritten form of the given fraction, maintaining it as a proper fraction in its simplest form, is:
[tex]\[
\frac{1}{2}
\][/tex]
Therefore, the simplified fraction is [tex]\(\frac{1}{2}\)[/tex].
