To reduce \(\frac{34}{90}\) to its lowest terms, we need to find the greatest common divisor (GCD) of 34 and 90, then divide both the numerator and the denominator by that number.

The factors of 34 are: 1, 2, 17, 34  
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The GCD of 34 and 90 is 2.

Now divide both the numerator and the denominator by 2:

\[
\frac{34}{90} = \frac{34 \div 2}{90 \div 2} = \frac{17}{45}
\]

Thus, \(\frac{34}{90}\) in its lowest terms is \(\frac{17}{45}\).

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you find the GCD of two numbers?
2. How can you check if a fraction is in its lowest terms?
3. What is the prime factorization method for reducing fractions?
4. How do you convert a fraction to a decimal?
5. How can fractions be added or subtracted?

**Tip:** Always check for the GCD when reducing fractions; it's the most efficient way to simplify.

Learn how to simplify the fraction 34/90 to its lowest terms using the greatest common divisor (GCD). This step-by-step guide explains the process, including finding the GCD and applying it to both the numerator and denominator. Suitable for students in Grades 4-6.

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