If this is a trick question, then the answer would be 172, because the students can return the pencils. If it is a regular problem then it would be 114 pencils.
Multiplying a fraction by a repeating decimal since a fraction is rational and a repeating decimal is rational (repeating numbers will always be rational). Rational number time rational number=rational Pi is an irrational number since the numbers are not repeating (3.1415926535 no repeating numbers as opposed to 0.3333333333333333333 or 0.1919191919)