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You are given the fraction 19/23 . A random calculator displays the following: 19 23= 0.8260869565217391304347826086956522 a) Decide whether the decimal expansion for the given

You are given the fraction 19/23 . A random calculator displays the following: 19 23= 0.8260869565217391304347826086956522

a) Decide whether the decimal expansion for the given fraction is terminating

or non-terminating. If it is non-terminating, decide whether it is repeating or

non-repeating. If it is repeating, state the repeating block. Do so by

analyzing what kind of decimal expansion the given fraction can yield based

on the denominator.

b) State the proper decimal expansion of the given fraction.

c) Explain why the last digit on the calculator display shows up as it does.2

d) What is the 4567th digit to the right of the decimal point in the decimal

expansion of the given fraction?

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