Nicole C. answered • 10/11/12

Increase confidence in math and science, chemistry, algebra II

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**

Jay T.

02/19/14

Michael B.

All generally correct, but in this specific case converting to improper fractions is unnecessary. You can treat each number as a sum of an integer and a fraction, and then use Associative/Commutative Properties:

(4 2/5) + (5 1/5) = (4 + 5) + (2/5 + 1/5) = 9 + 3/5 = 9 3/5

11/13/12