Understanding the Fraction
To reduce the fraction \( \frac{48}{60} \) to its simplest form, we will follow a systematic approach.

Step 1: Identify the Greatest Common Divisor (GCD)
- The GCD is the largest number that divides both the numerator (48) and the denominator (60) without leaving a remainder.
- To find the GCD, we can list the factors of both numbers:
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- The common factors are: 1, 2, 3, 4, 6, 12
- The greatest of these is **12**.

Step 2: Divide Both the Numerator and Denominator by the GCD
- Now, divide both 48 and 60 by their GCD (12):
- \( \frac{48 \div 12}{60 \div 12} \)
- This simplifies to \( \frac{4}{5} \).

Step 3: Conclusion
- Therefore, the fraction \( \frac{48}{60} \) in its simplest form is \( \frac{4}{5} \).

Final Result
- The simplest form of the fraction \( \frac{48}{60} \) is **4/5**.
Using these steps ensures that we can simplify any fraction effectively!