Question

Write 5.3232.... in simplest p/q form and comment on denominator.

Answer 1

$\huge\bf{ANSWER:-}$

(Refer to the attachment for the process.)

Comment of the Denominator:-

Since the numerator and denominator are 527 and 99 respectively, so denominator has no common factor with the numerator.

Answer 2

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Answer:

5.3232.... in simplest p/q form is 7/9.

Step-by-step explanation:

Let x=5.3232....

x=5+0.3232....                [FOR 0.3232... in p/q form:-

                                         Let, y=0.3232...        ----(1.)

                                         ∴100y=32.3232...     ----(2.)

                                          Subtracting equation (2.) - (1.)

                                         100y-y=32.3232... - 0.3232...

                                          99y=32

                                          ∴y= 32  ]

                                                 99

x=5+y

x=5+ 32                      

        99

x= 45+32 = 77 = 7

       99        99    9

The denominator has factors of 3 i.e.,3²

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