Let us find a bigger multiple first. Lets multiply the numerator and denominator by 9 in both the numbers.

Now, 1/3 = 9/27

And, 2/3 = 18/27

Clearly, 12/27 lies one third on the distance between the two numbers now.

+2 votes

Can you find a number that lies one third of the distance between 1/3 and 2/3?

+1 vote

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