Jonathan says that when you add 723723 to 223223 , you must add the whole numbers together first ( 7+2=97+2=9 ). Then you just add the numerators together ( 2+2=42+2=4 ), and you add the denominators together ( 3+3=63+3=6 ). So the answer is 946946 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning. (4 points)

Question

Jonathan says that when you add 723723 to 223223 , you must add the whole numbers together first ( 7+2=97+2=9 ). Then you just add the numerators together ( 2+2=42+2=4 ), and you add the denominators together ( 3+3=63+3=6 ). So the answer is 946946 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning. (4 points)

Answer 1

To solve the problem, we need to add the fractions 723723 and 223223.

First, let's find a common denominator for both fractions. The denominators are already the same, so we can skip that step.

Next, we add the numerators: 723723 + 223223 = 946946

Finally, we keep the common denominator: 6

So, the correct answer is 946946/6.

The flaw in Jonathan's reasoning is that he incorrectly adds the whole numbers together separately from the fractions. The numbers 7 and 2 in the numerator have no direct relationship with the numbers 3 and 3 in the denominator. Therefore, we cannot simply add them separately. We need to add the fractions as a whole, considering the relationship between the numerators and denominators.