Answer :

To simplify the fraction [tex]\( \frac{45}{60} \)[/tex], follow these steps:

1. Find the Greatest Common Divisor (GCD):
- First, we need to determine the greatest common divisor of the numerator and the denominator. The GCD of 45 and 60 is 15.

2. Divide the Numerator and Denominator by the GCD:
- Divide both the numerator (45) and the denominator (60) by their GCD (15).

[tex]\[
\frac{45}{60} = \frac{45 \div 15}{60 \div 15} = \frac{3}{4}
\][/tex]

3. Simplified Fraction:
- The fraction [tex]\(\frac{45}{60}\)[/tex] simplifies to [tex]\(\frac{3}{4}\)[/tex].

Thus, the simplified form of the fraction is [tex]\(\frac{3}{4}\)[/tex].