To simplify \( 1287 \div 1225 \), we can first simplify the fraction \(\frac{1287}{1225}\).
Let's find the greatest common divisor (GCD) of 1287 and 1225 by using the Euclidean algorithm:
- Calculate \( 1287 - 1225 = 62 \)
- Now take \( 1225 \) and \( 62 \): \( 1225 \div 62 \approx 19.7 \), so \( 1225 = 19 \times 62 + 37 \)
- Now take \( 62 \) and \( 37 \): \( 62 \div 37 = 1.68 \), so \( 62 = 1 \times 37 + 25 \)
- Now take \( 37 \) and \( 25 \): \( 37 \div 25 = 1.48 \), so \( 37 = 1 \times 25 + 12 \)
- Now take \( 25 \) and \( 12 \): \( 25 \div 12 = 2.08 \), so \( 25 = 2 \times 12 + 1 \)
- Now take \( 12 \) and \( 1 \): \( 12 \div 1 = 12 \)
The GCD is \( 1 \).
Since the GCD is \( 1 \), the fraction \(\frac{1287}{1225}\) is already in its simplest form.
Thus, \( 1287 \div 1225 = \frac{1287}{1225} \), which cannot be simplified further. However, we can express it as a decimal:
\[ 1287 \div 1225 \approx 1.05 \]
So, the simplified answer is \(\frac{1287}{1225}\) or approximately \(1.05\).