The change in the turtle's position is \(11 \frac{5}{12}\) inches
From the question,
We are to determine the change in the turtle's position
From the given information
A turtle is 20 5/6 (\(20\frac{5}{6}\)) inches below the surface of a pond
and
The turtle dives to a depth of 32 1/4 (\(32\frac{1}{4}\)) inches
To determine the change in the turtle's position, we calculate the difference between the initial position of the turtle and its final position.
∴ The change in the turtle's position = \(32\frac{1}{4} -20\frac{5}{6}\)
= \(\frac{129}{4} -\frac{125}{6}\)
= \(\frac{387-250}{12}\)
= \(\frac{137}{12}\)
= \(11 \frac{5}{12}\) inches
Hence, the change in the turtle's position is \(11 \frac{5}{12}\) inches
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