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

asked Nov 28, 2022 54.0k views

4 votes

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6 votes

Answer:

Hello,

Explanation:

$1.272727....=1.\overline{27}\\\\=1+(27)/(99) \\\\=1+(3)/(11) \\\\=(11+3)/(11) \\\\=(14)/(11) \\$

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

Afeshia answered Dec 4, 2022

4.9k points

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