Write a fraction in which the numerator and denominator have 1,2,4 and 8 as common factors. Then write the fraction in simplest form

Let's create a fraction where both the numerator and the denominator have 1, 2, 4, and 8 as common factors.

Consider the fraction \( \frac{24}{32} \).

### Step 1: Find the Greatest Common Factor (GCF)
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 32: 1, 2, 4, 8, 16, 32

The common factors are 1, 2, 4, and 8. The greatest common factor is 8.

### Step 2: Simplify the Fraction
To simplify \( \frac{24}{32} \), divide both the numerator and the denominator by their GCF, which is 8.

\[
\frac{24 \div 8}{32 \div 8} = \frac{3}{4}
\]

So, the fraction \( \frac{24}{32} \) simplifies to \( \frac{3}{4} \).

Would you like to explore more details about simplifying fractions or have any questions? 

Here are 5 related questions:

1. What are some other fractions that have 1, 2, 4, and 8 as common factors?
2. How do you determine the greatest common factor (GCF) of two numbers?
3. Can a fraction have more than one equivalent simplified form?
4. How can you simplify a fraction if the GCF is 1?
5. What is the importance of simplifying fractions in mathematical calculations?

**Tip:** Always check for the greatest common factor (GCF) when simplifying fractions to ensure they are in their simplest form.

Learn how to simplify fractions where the numerator and denominator have common factors including 1, 2, 4, and 8. Example problem: Simplify the fraction 24/32 using the greatest common factor (GCF). Understand the steps involved in simplifying fractions and how to identify the GCF effectively. Suitable for students in Grades 4-6.

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