Page 103 - New Medley 4 Semester 2 PDF (Merged)

5 3
Solution: To convert and into like fractions, find the LCM of
12 4

their denominators. LCM of 12 and 4 is 12 because 12 is
a multiple of 4.

3 3×3 9
Therefore, = =
4 4× 3 12

3 5 9 5 9- 5 4 1
Now, - = - = = =
4 12 12 12 12 12 3

(Result should be in the simplest form.)

Addition and Subtraction of Mixed or Improper Fractions

1 1 1 2
Example 15: Find the sum: (a) 2 +3 (b) 3 +2
3 3 4 3

1 1  1 1 
Solution: (a) 2 +3 = (2 + 3) +  + 
3 3  3 3 

(Add whole number parts and fractional parts
separately)

 1 + 1  2 2
= 5 +   = 5 + = 5
 3  3 3
 

(Write whole number parts and fraction together)

1 2  1 2   1× 3 2×4 
(b) 3 +2 = (3 + 2) +  +  = 5 +  + 
4 3  4 3   4× 3 3×4 


 3 8   3+ 8  11 11
= 5 +  +  = 5 +   = 5 + =5


 12 12   12  12 12
Alternative method
1 2 13 8
3 +2 = + (Convert into improper fractions)
4 3 4 3

13×3 8× 4
= + (Make like fractions)
4× 3 3×4

39 32 39 +32
= + = (Add)
12 12 12 101