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To solve this problem, you need to find a common denominator for the fractions 1/5, 1/9, and 1/6. The common denominator will be the least common multiple (LCM) of the denominators.

The LCM of 5, 9, and 6 is 90. To convert each fraction to have a denominator of 90, you need to multiply the numerator and denominator of each fraction by a suitable number.

For 1/5, you need to multiply the numerator and denominator by 18 to get 18/90.
For 1/9, you need to multiply the numerator and denominator by 10 to get 10/90.
For 1/6, you need to multiply the numerator and denominator by 15 to get 15/90.

Now you can add the fractions:

18/90 + 10/90 + 15/90 = (18 + 10 + 15)/90 = 43/90

Therefore, the sum of 1/5, 1/9, and 1/6 is 43/90.
 

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