The absolute value of 2/3 is less than 1 and so there is no mixed number for 2/3.
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2 and 2/3 is the mixed number for two and two thirds.
If you write it as 15 2/3, that is a mixed fraction.
it is 5/3
proper fraction
Expressed as a mixed number, 9.6 recurring (that is, 9.6666..) is equal to 9 2/3 or nine and two thirds.