Final answer:
No, I disagree with Han because fractions with a denominator of 8 that are greater than 8/8 do exist; for example, 9/8 is greater than 1. Understanding the relationship between multiplication and division helps in comprehending fractions' values.
Step-by-step explanation:
I disagree with Han's statement that there is no fraction with a denominator of 8 that's greater than 8/8. Although it's true that 8/8 is equal to 1, which is a whole number, fractions with a denominator of 8 can indeed be greater than 1 if the numerator is greater than 8. For instance, 9/8 is a fraction that is greater than 8/8 because 9 is greater than 8, and so the overall value of the fraction is greater than 1.
When we look at fractions and their relationship to multiplication and division, understanding that dividing by 8 is the same as multiplying by 1/8 and vice versa with reciprocals is essential. Additionally, the concept that a fraction like 8/8 has a value of 1 because the quantities in the numerator and denominator cancel out, doesn't mean that fractions cannot be created with a value greater than 1. In adding fractions, finding a common denominator is important, but this doesn't limit the value of the fractions involving the same denominator.