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I believe there is only one difference. The mixed numbers have to be converted to fractions. After that the operation is the same. Each fraction then must have a common denominator in order to add or subtract which is true in either case. Perhaps you need to convert back to mixed number however you might have to do that also when adding fractions. Example 9/16 +9/16 =18/16 = 1 1/4. And in subtracting mixed numbers you might end up with a complete fraction thus not needing conversion. Therefore I see only one definite difference as described above on the first paragraph.

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Q: What are two things you have to think about when you add or subtract mixed numbers that you do not have to consider when you add or subtract fractions?
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Why is it necessary to convert two fractions into like fractions before adding and subtracting them?

Because think of like fractions as the same things.. you can subtract halves from halves for example, but what does it mean to take away a half from a third?By converting them into like fractions, we can add or subtract them easily.


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Why do you need a common denominator when adding and subtracting fractions but not when you multiply or divide fractions?

For subtracting and adding you cannot add or subtract unalike things. For multiplication and division you can multiply by whatever you want. In some maths you even multiply by variables such as "x". Or divide by them.


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