Question

show that repeating decimal 1.27 is a rational number.

Answer 1

1.27= 127/100
rational number means p/q where p not = 0 where p and q are integer

Answer 2

x=1.272727.............(1)

      multiply both sides by 100

100x=100*1.2727.......

100x=127.2727.....

100x=126+1.272727......

100x=126+x   [from (1)]

100x-x=126

99x=126

    x=126/99=42/33

                   =14/11

Hope it helps