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To subtract these fractions, we need to find a common denominator:
The least common multiple of 9 and 3 is 9.
Then, convert both fractions to have a denominator of 9:
7/9 minus 1/3 equals (7/9)(3/3) minus (1/3)(3/3)
= 21/27 minus 3/27
= (21 - 3)/27
= 18/27
Simplified, this is equal to 2/3.