Simplify the following fraction: start fraction, 28, divided by, 48, end fraction 
48
28
​


To simplify the fraction \(\frac{28}{48}\), we first need to find the greatest common divisor (GCD) of 28 and 48.

1. **Prime Factorization**:
   - 28 can be factored as \(2^2 \times 7\).
   - 48 can be factored as \(2^4 \times 3\).

2. **Find the GCD**:
   - The common factors between 28 and 48 are \(2^2\).
   - Therefore, the GCD of 28 and 48 is \(4\).

3. **Simplify the Fraction**:
   - Divide both the numerator and the denominator by 4:
   
   \[
   \frac{28 \div 4}{48 \div 4} = \frac{7}{12}
   \]

So, the simplified fraction is \(\frac{7}{12}\).

Would you like more details or have any questions?

Here are some related questions to explore:
1. How do you find the GCD of larger numbers?
2. What is the relationship between the GCD and simplifying fractions?
3. How would you simplify the fraction \(\frac{35}{50}\)?
4. Why is it important to reduce fractions to their simplest form?
5. How do you handle simplifying improper fractions?

**Tip:** Always check if both the numerator and denominator can be divided by their GCD to simplify fractions quickly.

Learn how to simplify the fraction 28 divided by 48 step-by-step. Find the greatest common divisor (GCD), perform prime factorization, and reduce the fraction to its simplest form 7/12. Suitable for Grades 6-8.

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