Remainder and Fractional Portion

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

When positive integer m is divided by positive integer n, the remainder is 27. If , what is the value of n?

Review: Remainder and Fractional Portion


Explanation

We are given two statements that convey similar information: both the remainder and the non-integer portion of the decimal describe the portion of the division that didn't happen cleanly. For example, if we divide 7 by 5, or , the remainder is 2, and the decimal value of is . And there's a relationship: it's the remainder of 2, over the divisor, 5, that gave us the decimal portion of .4. Therefore,





The correct answer is (B).


If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.