Anniematth Anniematth

03-08-2021
Mathematics

contestada

Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.

Respuesta :

03-08-2021

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

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