Let's simplify the fraction $\frac{5}{10}$ step by step.

Step 1: List all the factors of the numerator 5.

• The factors of 5 are: 1, 5.

Step 2: List all the factors of the denominator 10.

• The factors of 10 are: 1, 2, 5, 10.

Step 3: Circle the greatest factor 5 and 10 have in common.

• The common factors of 5 and 10 are: 1, 5.
• The greatest common factor (GCF) is: 5.

Step 4: Select the Greatest Common Factor for 5 and 10.

• The GCF is 5.

Simplification:

• Now, simplify the fraction $\frac{5}{10}$ by dividing both the numerator and the denominator by their GCF, which is 5:

$\frac{5 \div 5}{10 \div 5} = \frac{1}{2}$

So, the simplified fraction is $\frac{1}{2}$.

Would you like more details on any of these steps or have any questions?

Related Questions:

1. What is the process for finding the GCF of larger numbers?
2. Can a fraction be simplified if the GCF is 1?
3. How can you simplify a fraction if the numerator is larger than the denominator?
4. What happens if the numerator and denominator have no common factors other than 1?
5. How do you simplify fractions that contain variables?

Tip:

Always double-check your factors to ensure you correctly identify the Greatest Common Factor (GCF).