Final answer:
Han's statement that no fraction with a denominator of 8 is greater than 8/8 is incorrect. Fractions such as 9/8 or 10/8 have a greater value than 8/8 since increasing the numerator results in a larger fraction, assuming the denominator remains constant.
Step-by-step explanation:
One may argue that there is no fraction with a denominator of 8 that is greater than 8/8 because 8/8 is equivalent to 1, which is a whole number. However, this is not entirely true. If we increase the numerator while keeping the denominator at 8, we can obtain fractions greater than 1. For example, a fraction like 9/8 or 10/8 is indeed greater than 8/8. The concept that as long as we have the same denominator, we can compare fractions by their numerators helps us understand that fractions greater than 8/8 are indeed possible.
Multiplication and division are related in the sense that dividing by a number is the same as multiplying by its reciprocal. When we talk about fractions, the process of finding a common denominator is used to compare or add fractions, not to limit the value that a fraction can represent.
Therefore, while Han might believe no fraction with a denominator of 8 can be greater than 8/8, by simply having a numerator greater than 8, we can easily have fractions that exceed the value of 1. This follows the basic rules of fractions and the concept of equivalency in ratios.