Addition and Subtraction of Fractions
with Different Denominators
Remember: In order to add or subtract fractions, the denominators MUST be the same.
Example:
2 3
+ =?
3 8
LCM = 24 Find the LCM
2 8 16 Write the problem vertically.
× =
3 8 24
3 3 9 Find the equivalent fractions with the LCM as a
+ × =
8 3 24 denominator.
25
24
Add the fractions with the same denominator.
25 1 Remember to write as a mixed number and reduce when
=1
24 24 possible!
Add or Subtract:
7 3 15 10 11 23
1) 8 + 4 5) 24 - 27 9) 4 + 18
7 3 7 5 29 9
2) 8 - 4 6) 12 + 16 10) 8 + 7
11 17 16 5 13 5
3) 12 + 18 7) 27 - 24 11) 235 - 1 14
3 2 1 3 2 1 2
4) 7 + 5 8) 14 + 8 12) 3 + 21 - 7
13
Subtract:
1 1 3 5
1) 5 - 23 5) 18 - 4 9) 17 - 4 9
1 5 15 5 3
2) 7 - 16 6) 3 12 - 116 10) 5 18 - 1 4
5 4 2 3
3) 10 - 4 6 7) 8 - 65 11) 57 - 38
5 7 3 5 7 7
4) 3 8 - 28 8) 48 - 36 12) 18 - 1 16 - 12
15