Question

Simplify 1287÷1225

Answer 1

To simplify \( \frac{1287}{1225} \), we can start by finding the greatest common divisor (GCD) of the two numbers.

First, we can factor both numbers:

1. **Factoring \( 1287 \)**:
- Dividing by \( 3 \): \( 1287 \div 3 = 429 \)
- Dividing \( 429 \) by \( 3 \): \( 429 \div 3 = 143 \)
- Factoring \( 143 \): It's \( 11 \times 13 \).
- So, \( 1287 = 3^2 \times 11 \times 13 \).

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

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

Since there are no common factors, the GCD is \( 1 \).

Thus, the fraction \( \frac{1287}{1225} \) is already in its simplest form.

Therefore, \( 1287 \div 1225 \) does not simplify further and the answer is:

\[
\frac{1287}{1225}
\]

If you want it in decimal form, \( 1287 \div 1225 \approx 1.05 \).