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

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Can you find a number that lies one third of the distance between 1/3 and 2/3?
posted Nov 8, 2014

+1 vote

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.

its 12/27 ...

(2/3-1/3)/3+1/3 = (6/9-3/9)/3+3/9= 1/9+3/9=4/9

+1 vote

that number is 1/9

+1 vote

Since 12/27 reduces down to: 12/3 = 4 and 27/3 = 9
Then 4/9 is the alternative/same answer.

Or converting into decimals: .333 and .666 divided into 3rds = .333/3 = .111, then add: .111 + .333 = .444
Confirmed by 4/9 = .444

Thus .444 is also an answer.

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