Answer :

To simplify the fraction [tex]\(\frac{34}{50}\)[/tex], follow these steps:

1. Find the Greatest Common Divisor (GCD):
First, we need to find the greatest common divisor of the numerator (34) and the denominator (50). The GCD is the largest number that can evenly divide both numbers.

2. Divide by the GCD:
Once we have the GCD, we divide both the numerator and the denominator by this number to simplify the fraction.

3. Simplify the Fraction:
After dividing by the GCD, you will get the simplified version of the fraction.

Here is the simplified result:

- The GCD of 34 and 50 is 2.
- Divide the numerator (34) by the GCD (2): [tex]\(34 \div 2 = 17\)[/tex].
- Divide the denominator (50) by the GCD (2): [tex]\(50 \div 2 = 25\)[/tex].

Therefore, the simplified form of the fraction [tex]\(\frac{34}{50}\)[/tex] is [tex]\(\frac{17}{25}\)[/tex].