You can think of this problem in two ways.
First, as the more general question "What is N divided by N?" This makes the answer, 1, obvious.
Second, you can work through it algebraically:
(1/3)/(1/3) = N
1/3 = N/3
N = 1
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One third divided by two and one third = 1/7
45 multiplied by one-third = 15; 45 divided by one-third = 135.
1 2.5th.
Two and one third divided by one half = 42/3
227.2727