Answer: 1/9
Step-by-step explanation: We can start the problem by using the concept of unit rate.
We know that the gardener spread 2/3 of a bag of mulch over his 6 vegetable beds. To find the amount of mulch per bed, we can divide the total amount of mulch by the number of beds.
So, the unit rate of mulch per bed is (2/3) / 6 = 1/9 of a bag of mulch.
So, the gardener put 1/9 of a bag of mulch on each vegetable bed.