Inequalities in one triangle word problem.

Question

Kristine and Lisa are working on their math homework, which involves dividing one digit natural numbers(the positive energy years one, two, three…) they disagree on one problem. Kristine says the answer is three. Lisa says the answer is 13, and their dad volunteers in answer of zero. who is correct? Assuming one person has the correct answer.

Answer 1

One digit natural numbers gives us a domain from 1 to 9.

Zero is not possible, as zero is not a natural number, and a ratio equal to zero can only occur is there is a zero in the numerator. 13 is not possible as the largest , 9, divided by the smallest, 1, only yields 9. (The ratio between two one digit rational numbers will range from 1/9 to 9; 13 is outside the range.) The answer 3 can be produced by three combinations 3 and 1, 6 and 2, and 9 and 3, so Kristine has the only possible correct answer.