Answer:
when you turn it into an decimal it keeps repeating its self and you cant not simplfy it
We need to explain why the given fraction is a repeating decimal.
It is a repeating decimal as 6 keeps repeating infinitely.
Let us divide [tex]\dfrac{1}{6}[/tex] by long division.
0.166
6 | 1
0
10
6
40
36
40
36
4
It can be seen that there is always a remainder of [tex]4[/tex].
So, when a zero is added because of the decimal point it becomes [tex]40[/tex].
This keeps occurring infinitely, so [tex]\dfrac{1}{6}[/tex] is a repeating decimal.
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