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To multiply 2/3 by 1 2/9, we first need to convert the mixed number (1 2/9) into an improper fraction:
1 2/9 = (1 * 9 + 2) / 9 = 11/9
Now the calculation becomes:
2/3 * 11/9
To multiply fractions, simply multiply the numerators together and the denominators together:
(2 * 11) / (3 * 9) = 22/27
Therefore, multiplying 2/3 by 1 2/9 equals 22/27.