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.

First, we can factor both numbers:

**For 1287:**
- Check divisibility by 3 (sum of digits is 18, which is divisible by 3):
\[
1287 \div 3 = 429
\]
- Now, check 429. Sum of digits is 15, which is also divisible by 3:
\[
429 \div 3 = 143
\]
- Now factor 143. It is \( 11 \times 13 \).

So, the factorization of 1287 is:
\[
1287 = 3^2 \times 11 \times 13
\]

**For 1225:**
- Check if 1225 is a perfect square (it ends with 25). It is \( 35^2 \):
\[
1225 = 25 \times 49 = 5^2 \times 7^2
\]

Thus, \( 1225 = 5^2 \times 7^2 \).

**Finding GCD:**
The GCD of 1287 and 1225 is 1 since they have no common prime factors.

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

So, the simplified result is:
\[
\frac{1287}{1225}
\]

You can also express it as a decimal:
\[
1287 \div 1225 \approx 1.05
\]

Thus the final answer can be presented as:
\[
\frac{1287}{1225} \text{ or } 1.05
\]