Post 3: Converting Improper Fractions and Mixed Numbers

 As my class continues to learn about fractions, I continue to learn as well. This past week, the class has been learning how to convert improper fractions into mixed numbers and vice versa. When I first saw this, I panicked a little, knowing that I would most likely continue working in small groups with students to review some questions together. I don't even remember learning how to do this. 

After watching my cooperating teacher's lesson I felt more confident once again. Still, though, it felt like I was learning this for the first time. 

To get an improper fraction into a mixed number, you divide the numerator by the denominator to get the whole number and whatever your remainder is will become your new numerator to go over your original denominator. For example; 11/9. You would divide the numerator (11) by the denominator (9). 9 goes into 11 once so 1 would be your whole number. We then subtract 11-9 and get a remainder of 2 or 2/9. So our answer is 1 and 2/9 

To get a mixed number into an improper fraction, we need to multiply the denominator by the whole number, then add the numerator. Whatever that answer is will then get put over the original denominator.  For example; 1 and 2/9. You would multiple the denominator (9) by the whole number (1) to get 9. You will then add the numerator (2) to get 11. You will then put that answer over your original denominator to get 11/9. 

I'm not quite sure if my typing this out makes any sense but writing it down is a lot easier. 

Working these problems out with a small group of students helped me learn a little better too. I saw that they were struggling with this at first so I made sure to show them how to break down the problems and solve them in steps. Also writing everything out vertically is a lot more helpful. Looking forward to seeing how this lesson continues and to see not only the student's growth, but my growth as well

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