If you mean 6 2/9, then it's
(6 * 9 + 2) / 9
or
56 / 9
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29/6
The numerator of the improper fraction is 4*6 + 3 = 27 and the denominator is the same as for the mixed fraction. So, the improper fraction is 27/4.
As an improper fraction: 29/20
The mixed fraction 2 9/10 as an improper fraction is 29/10.
As an improper fraction it is -29/5 in its simplest form