Simplify 1287÷1225

1 answer

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, \( 1287 \div 1225 \approx 1.05 \).

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