2/11ths is exactly between 1/5th and 1/6th.
There are an infinite number of alternate answers to choose from, should you wish.
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An infinite amount of fraction can come between 1/6 and 1/5. For example, we know that 1/6 = 10/60 and 1/5 = 12/60, so a fraction between them would be 11/60.
it's 1/4 if you want the fraction exactly half way between them.
A fifth can be expressed as 1/5.
1/6
11/30