Explain how you rename the fraction part of the problem.

Question

If you are adding 3 2/3 + 2 2/3, EXPLAIN how you rename the fraction part of this problem?

Answer 1

 If I know what is your question

 

  3 2/3  is a mixed number that contains whole number part of 3 , and fraction part is 2/3

 

 3 2/3  equals 3 + 2/3

 

   Say there are 11 apples that you want to distribute equally among 3 kids

 

    11 ÷ 3 = 3 + ...

 

     after you give 3 apples to each kid  3* 3 = 9

 

     11 - 9 = 2  , there are 2 apples left that can't take any more 3  from it,  then you split 2 apples into 3

     

      equal parts and give each kid 2/3 of apple:

 

      Then 11 ÷ 3 = 3 + 2/3 so each kid gets 3 +2/3 apples.

 

      Now :  11 = 3 *3 + 2

 

                 So we write division equal with fraction:

 

             11 / 3   splitting 11 apples into 3 equal parts , and call that improper fraction.

 

           11/ 3 = 3 2/3

 

            By carrying the division we convert Improper fraction into mixed number , and keep the whole

           number and the fraction separate from each other, and use the fraction sign (/) with division sign

            interchangeably.

 

            3 2/3 + 2 2/3 = 5 + 2/3 + 2/3 = 5 +4/3 = 5 + 1 + 1/3 = 6 1/3

 

           In addition we also keep the whole number and fraction separate from each other, and perform the

           operation separately.

 

       

 

Answer 2

If I understand what you are asking I would do the addition as follows: since 3 is the same as 9/3

 

3 2/3 = (9/3)+ (2/3)=(11/3) and 2 2/3 =(8/3) adding gives (19/3)

 

Hope this helps

 

Jim