Reduce the following fractions to the lowest term by dividing by their HCF example 18 upon 15

To reduce the fraction \( \frac{18}{15} \) to its lowest terms, we first need to find the Highest Common Factor (HCF) of the numerator (18) and the denominator (15).

### Step 1: Find the factors of the numerator and denominator.
- Factors of 18: \( 1, 2, 3, 6, 9, 18 \)
- Factors of 15: \( 1, 3, 5, 15 \)

### Step 2: Identify the HCF.
- The common factors of 18 and 15 are \( 1 \) and \( 3 \).
- The highest common factor (HCF) is \( 3 \).

### Step 3: Divide both the numerator and the denominator by the HCF.
\[
\frac{18 \div 3}{15 \div 3} = \frac{6}{5}
\]

So, the fraction \( \frac{18}{15} \) reduced to its lowest terms is \( \frac{6}{5} \).

Would you like more details or have any questions? Here are some related questions:

1. How do you find the HCF of two numbers using the Euclidean algorithm?
2. What is the difference between HCF and LCM?
3. How can you simplify fractions with larger numbers?
4. What are the steps to convert improper fractions to mixed numbers?
5. How do you reduce a fraction when the HCF is 1?

**Tip:** Always check if a fraction can be simplified further by finding the HCF of the numerator and denominator.

Learn how to reduce the fraction 18/15 to its lowest terms by dividing both numerator and denominator by their highest common factor (HCF). This problem covers fundamental concepts in fractions and GCD. Suitable for students in Grades 5-6.

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