A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s position? Write your answer as a mixed number.

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Step-by-step explanation:

the turtle is initially 20 5/6 inches below the surface.

After which he dives to a depth of 32 1/4 inches

then the initial position below - 20 5/6 inch

final position - 32 1/4 inch

the difference in the positions can be calculated taking the difference between initial and final position

this can be done with a simple subtraction of fractions

difference =

when subtracting mixed fractions the whole numbers are first subtracted

 =  

 =

we can now bring the denominators to a common denominator which is 12

then in the first fraction 1/4, denominator is 4 , to bring it to 12 we can multiply the whole fraction by 3

next fraction 5/6 , denominator is 6, to bring it  to 12 we multiply whole fraction by 2

now since  3/12 is smaller than 10/12 so we borrow a whole number from 12 outside the brackets, then

then

= (12 - 1) ()

 = 11

therefore change in turtles position is 11 5/12 inches

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: