Question

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

Answer 1

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