Page 71 - Maths Class 05
P. 71

1           1     6     6      6     1      19
                      Therefore, 3       = 3 +       =     +     +      +      =
                                      6           6     6     6      6     6       6


                                           1     3 × 6 + 1      18 + 1     19
                      Alternatively ,  3     =               =          =
                                           6          6            6        6



                                       Multiply the whole number part by the denominator
                                       and add numerator to the product.



            Converting Improper Fractions into Mixed Fractions


            To convert an improper fraction into a mixed fraction, follow these steps :


            Ÿ Divide the numerator by the denominator.

            Ÿ Write down the whole number answer.                                                          2 ¬ Q
                                                                                                D ®    4  11
            Ÿ Then, write down the remainder above the denominator.
                                                                                                          – 8

                                       11                                                                   3 ¬ R
            Example   :   Convert           into a mixed fraction.
                                        4

            Solution   :  Divide : 11 ÷ 4 = 2 with a remainder of 3.

                           Write  down  the  2  and  then  write  down  the  remainder  3  above  the

                            denominator.

                                             3
                                      i.e.  2
                                             4

                           This example can be written like this :

                                       11
                                            =  11  ÷  4  =     R  2  3
                                        4
                                                                  3
                                                           =   2
                                                                  4

                                        10
            Example   :   Convert           into a mixed fraction.
                                        3


                                        10
            Solution   :                    =  10  ÷  3  =     R  3  1
                                        3
                                                                  1
                                                           =   3
                                                                  3





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