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Let's simplify the fractions step by step:

### 1. Simplifying \( \frac{8}{18} \):
- **Find the greatest common divisor (GCD)** of 8 and 18. The factors of 8 are \(1, 2, 4, 8\) and the factors of 18 are \(1, 2, 3, 6, 9, 18\). The GCD is 2.
- **Divide both the numerator and denominator by their GCD**:
  \[
  \frac{8}{18} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9}
  \]
- So, the simplified form of \( \frac{8}{18} \) is \( \frac{4}{9} \).

### 2. Simplifying \( \frac{5}{35} \):
- **Find the greatest common divisor (GCD)** of 5 and 35. The factors of 5 are \(1, 5\) and the factors of 35 are \(1, 5, 7, 35\). The GCD is 5.
- **Divide both the numerator and denominator by their GCD**:
  \[
  \frac{5}{35} = \frac{5 \div 5}{35 \div 5} = \frac{1}{7}
  \]
- So, the simplified form of \( \frac{5}{35} \) is \( \frac{1}{7} \).

Would you like further details on how to find the GCD or about simplifying fractions? 

Here are five related questions:
1. What is the GCD of two numbers?
2. Can every fraction be simplified to its lowest terms?
3. How do you determine if a fraction is already in its simplest form?
4. How is the GCD of two numbers found using the Euclidean algorithm?
5. Why is it important to simplify fractions?

**Tip:** Always check for the greatest common divisor (GCD) when simplifying fractions to ensure you're using the largest factor that divides both the numerator and the denominator.

Simplify the following fractions into lowest term: 1. 8/18 2. 5/35

Learn how to simplify the fractions 8/18 and 5/35 to their lowest terms using the greatest common divisor (GCD). This step-by-step guide explains the process of finding the GCD and simplifying fractions. Ideal for students in Grades 5-7.

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