5. In Monday, Jane got 4 cookies and half of them were chocolate chip. On Tuesday she got 6 cookies and 1/3 of them were chocolate chip. What fraction of the total cookies she had were chocolate chip?
This isn't an addition of fractions problem at all. It is an addition problem, and it has fractions, but the answer doesn't have much to do with adding the fractions. I would solve it by figuring out how many cookies were chocolate chip: (1/2)x4+(1/3)x6, read out loud I would say half of four plus a third of six. Then I would figure out how many cookies total: 4+6 and form the fraction 4/10. This can't be done by adding fractions, because fraction addition only works when all of the wholes are the same. In this case, all of the wholes are different: on Monday the whole is 4, on Tuesday the whole is 6, and all together the whole is 10.