Page 67 - classs 6 a_Neat
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EXAMPLE 14:   Convert each of the following into an improper fraction:
 4  5  7  1
 (i) 3  , (ii) 6  , (iii) 5  (iv) 11
 5  8  9  6
 SOLUTION:    We have

 4  ( 3 × 5 ) + 4  19  (a)
 (i)  3  =  =
 5  5  5
 5  ( 6 × 8 ) + 5  53
 (ii)  6  =  =
 8  8  8
 7  ( 5 × 9 ) + 7  52
 (iii) 5  =  =
 9  9  9
 1  ( 11 × 6 ) + 1  67
 (iv) 11  =  =
 6  6  6

 EXAMPLE 15:   Convert each of the following into a mixed fraction:

 23  37  45  50
 (i)  (ii)  (iii)  (iv)
 5  6  8  7


 SOLUTION:    (i) On dividing 23 by 5, we get

 23  3  3
   5  = 4 +  5  = 4  5

          (ii) On dividing 37 by 6, we get
          quotient = 6 and remainder = 1.
 37  1  1  2. Name the fraction represented by the shaded parts in the following collections.
   6  = 6 +  6  = 6  6


          (iii) On dividing 45 by 8, we get
          quotient= 5 and remainder= 5.
 45  = 5 +  5  = 5  5
   8  8  8


          (iv) On dividing 50 by 7, we get
          quotient= 7and remainder= 1.
 50  = 7 +  1  = 7  1
   7  7  7




 PRACTICE EXERCISE 5.1


 1. Write how many parts of the whole are shaded in each of the following shapes.
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