To reduce the fraction [tex]\( \frac{45}{90} \)[/tex], we need to follow a series of steps to simplify it:
1. Identify the Greatest Common Divisor (GCD):
- The first step in reducing a fraction is to find the Greatest Common Divisor (GCD) of the numerator (45) and the denominator (90). The GCD is the largest positive integer that divides both numbers without leaving a remainder.
2. Divide the Numerator and the Denominator by the GCD:
- Once we have identified the GCD, we divide both the numerator and the denominator by this number.
From the numerical result provided, we know:
- GCD of 45 and 90 is 45.
3. Simplifying the Fraction:
- Divide the numerator (45) by 45:
[tex]\[
\frac{45}{45} = 1
\][/tex]
- Divide the denominator (90) by 45:
[tex]\[
\frac{90}{45} = 2
\][/tex]
- This gives us the simplified fraction:
[tex]\[
\frac{45}{90} = \frac{1}{2}
\][/tex]
Therefore, the reduced fraction is [tex]\( \frac{1}{2} \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{1 / 2} \][/tex]
