Question

Simplify 1287÷1225 .(1 point)

Answer 1

To simplify \( \frac{1287}{1225} \), we can look for the greatest common divisor (GCD) of 1287 and 1225.

1. First, let's find the prime factorization of both numbers.

- **1287**:
- Start dividing by 3: \( 1287 \div 3 = 429 \)
- Divide 429 by 3: \( 429 \div 3 = 143 \)
- Now factor 143: \( 143 = 11 \times 13 \)
- So, \( 1287 = 3^2 \times 11 \times 13 \)

- **1225**:
- \( 1225 = 35 \times 35 = 5^2 \times 7^2 \)

2. Now we have:
- \( 1287 = 3^2 \times 11 \times 13 \)
- \( 1225 = 5^2 \times 7^2 \)

3. Since 1287 and 1225 have no common factors, the GCD is 1.

4. Therefore, \( \frac{1287}{1225} \) is already in its simplest form.

The simplification of \( \frac{1287}{1225} \) is:

\[
\frac{1287}{1225} \text{ (already simplified)}
\]