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: $1287÷3=429$
     • Divide 429 by 3: $429÷3=143$
     • 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:

$$\frac{1287}{1225}\text{ (already simplified)}$$