Final answer:
To find the fraction of the day that Peter was lost, multiply 2/3 by 5/6.
Step-by-step explanation:
To find the fraction of the day that Peter was lost, we need to find the product of the fraction of the day he spent hiking (2/3) and the fraction of the time he was lost while hiking (5/6).
First, multiply the numerators: 2 * 5 = 10.
Then, multiply the denominators: 3 * 6 = 18.
The fraction representing the time Peter was lost is 10/18.