4 2/5+5 1/5

Question

 i need help on adding mixed fractions

Answer 1

Hello, thank you for taking the time to post your question!

When you are adding together mixed fractions I would break it up into the constant term and the fraction term. On this one that means taking

4 2/5 + 5 1/5

=(4 + 5) + (2/5 + 1/5)

= (9) + (3/5), meaning that the end value here is 9 3/5

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

You have to turn both into improper fractions first.

Mixed --> Improper

   Whole#     Top  

                 Bottom

  To get the improper numerator:

      Whole x Bottom + Top = numerator

      (4) x (5) + 2 = 22

  The improper denominator is the same at the mixed number denominator

      5

Your first improper fraction will be: 22/5

Do the same steps and get the second fraction to be: 26/5

Now add the two improper fractions together. Because they have the same denominator you don't have to do any further steps to create a common denominator

   22    +    26    =    48  (just add the two numerators together to get new numerator)

   5             5            5   (denominator stays the same when you add or sub)

Last step: Turn improper fraction back into a mixed number

  How many whole times does 5 go into 48?

    9  --> this is your whole number

  How much left over is there?

   5x9 = 45

   48 - 45 = 3

   so left over is 3  --> this is your numerator

   5 will remain your denominator

ANSWER:  9  3/5