Final answer:
The ratio of the depth of Peter's well (8 2/3 feet) to Jewel's well (11 feet) is found by converting Peter's well depth to an improper fraction (26/3) and then comparing it to Jewel's well depth, resulting in a ratio of 26:33.
Step-by-step explanation:
The question is asking to find the ratio of the depth of two wells. Peter's well is 8 2/3 feet deep and Jewel's well is 11 feet deep. First, we need to convert Peter's well depth into an improper fraction.
Peter's well: 8 2/3 = (8 × 3) + 2
= 24 + 2
= 26/3 feet
Now we have both depths in terms of feet and can compute the ratio:
Ratio = Depth of Peter's Well : Depth of Jewel's Well
= (26/3) : 11
To express this ratio in simplest form, we multiply both sides by 3 to get rid of the fraction:
Ratio = 26 : (11 × 3)
= 26 : 33
This ratio can't be simplified any further, so the final ratio of the depth of Peter's well to Jewel's well is 26:33.