High School

When a number is divided by 893, the remainder is 193. If the same number is divided by 47, what will the remainder be?

Answer :

Final answer:

To find the remainder when a number divided by another number, use modular arithmetic. The remainder when the original number is divided by 47 is 5.

Explanation:

To find the remainder when a number is divided by another number, you can use the concept of modular arithmetic. If a number is divided by 893 and the remainder is 193, then we can write this as a congruence: x ≡ 193 (mod 893). Now, we need to find the remainder when x is divided by 47. We can solve this by finding the remainder when 193 is divided by 47, which is 5. Therefore, the remainder when the original number is divided by 47 is 5.

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