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) BoldItalicUnderlineIncrease indentDecrease indentUndoRedo

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) BoldItalicUnderlineIncrease indentDecrease indentUndoRedo

Answer 1

To solve the problem, we need to find the sum of 723723 and 223223:

The whole numbers: 7 + 2 = 9
The numerators: 2 + 2 = 4
The denominators: 3 + 3 = 6

So far, we have 946/6.
However, we cannot simply add the numerators and denominators separately without considering the wholes.

The correct way to add fractions is to find a common denominator, which in this case would be 6. Then, we can convert both fractions to have the same denominator:

723723/1 + 223223/1 = 723723/1 + 223223/1 = 723723/1 + 223223/1 * 6/6 = 723723/1 + 1339338/6 = (723723 * 6 + 1339338)/6 = 4342336/6

Now we can simplify the fraction:

4342336/6 = 723722/1

Therefore, the correct answer is 723722, not 946946.

The flaw in Jonathan's reasoning is that he did not consider the wholes when adding the numerators and denominators separately. He mistakenly added the numerators and denominators as if they were standalone numbers instead of fractions.