\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2013b.00563}
\itemau{Lesser, Lawrence M.; Guthrie, Joe A.}
\itemti{Uncommon connections with common numerators.}
\itemso{PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 22, No. 8, 634-642 (2012).}
\itemab
Summary: Undergraduate students who are pre-service teachers need to make connections between the college mathematics they are learning and the pre-college mathematics they will be teaching. Spanning a broad range of undergraduate curricula, this article describes useful lesser-known connections, explorations, and original proofs involving fractions. In particular, we use standard tools of number theory to investigate when an integer results from $bc/(b+c)$, an expression that arises from the not uncommon situation of adding fractions with a common numerator.
\itemrv{~}
\itemcc{F69 H39}
\itemut{pre-service teachers; number theory; fractions}
\itemli{doi:10.1080/10511970.2011.648255}
\end