32 divided 565 enter your answer as a mixed in the simpilest form

Answer 1

To divide 32 by 565 and express the answer as a mixed number in its simplest form, we first perform the division.

1. Divide 32 by 565: Since 32 is less than 565, the whole number part of the mixed number will be 0.

2. Express as a fraction: We write 32 divided by 565 as a fraction: \[ \frac{32}{565} \]

3. Simplify the fraction: To simplify \(\frac{32}{565}\), we need to find the greatest common divisor (GCD) of 32 and 565. The prime factorization of 32 is \(2^5\), and 565 can be factored as \(5 \times 113\). The numbers share no common factors other than 1.

Since the GCD is 1, the fraction \(\frac{32}{565}\) is already in its simplest form.

4. Final answer: As a mixed number, it remains: \[ 0 \frac{32}{565} \]

Therefore, the answer is \(\frac{32}{565}\) in the simplest form. Since it's a pure fraction with no whole number part, we usually just write it as \(\frac{32}{565}\).