**Adding fractions**

** 2 + 3 =
5
**

7 7 7 When fractions have the same denominators just add the numerators

and bring over the common denominators.

**Sometime we need to add fractions that have different denominators.
For example 1 + 1
This requires that we find a common denominator. Why do we
2 3 need to do this. To use an analogy assume that you are going to
add $3 + 200 pennies. You would change the $3 to 300
pennies
and add 300 pennies + 200 pennies = 500 pennies or you would
change the 200 pennies to $2 and add $3 + $2 = $5. Either way
you could only get an accurate answer when both quantities
are converted to the same measurement. The same is true with
fractions.**

**The first step is to find a number that can be divided evenly by 2 and
3. This number is called
a common denominator. If it is the smallest number that can be divided
evenly by 2 and 3 we
will call that number the**

** 1 =
What we do is divide the new denominator
**

2 6 by the old denominator and multiply the

answer by the old numerator. This answer is

+ 1 = the new numerator. If you follow this procedure

3 6 your work will look similar to this 1 = 3

------------ 2 6

1 = 2

+ 3 6

-----------

5

6

Try adding 1/2 + 1/3 using 12 as the common denominator.

Do you get the same answer? answer

**Try these examples:
1) 1/4 + 1/3 =
2) 2/3 + 1/2 =
answer
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**