What is the decimal equivalent of the rational number 6/11?

Punch it into your calculator and see what you get.

How to resolve a repeating decimal: 0.5454.... This repeats two digits, so we multiply by 100.

100x = 54.5454....
x = 0.5454....
---------------- SUBTRACT
99x = 54
x = 54/99
x = 6/11