A and B can do a work in 12 days and 16 days, respectively. If they work together for 6 days, then the fraction of the work left is _________.

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Accepted Answer

Step 1: Calculate the work done by A in one day = 1/12

Step 2: Calculate the work done by B in one day = 1/16

Step 3: Calculate the combined work done by A and B in one day = 1/12 + 1/16 = (4/48) + (3/48) = 7/48

Step 4: Calculate the work done by A and B together in 6 days = 6 * (7/48) = 42/48 = 7/8

Step 5: Calculate the fraction of work left = 1 - 7/8 = 1/8

Therefore, the fraction of the work left after A and B work together for 6 days is 1/8.

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