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\begin{document}

\noindent
{\Large 
Fractions Worksheet I \hfill Name:\underline{\hspace{2.8in}}\\ \\
MA~201} 
\vspace{.25in}


\be 
\item What does it mean when we say that a fraction is in simplest form?
\item Write these fractions in simplest form.
	\be
	\item $\frac{2}{14}$
	\item $\frac{21}{15}$
	\item $\frac{212}{146}$
	\item $\frac{2^5\cdot7^3\cdot11^9}{2^6\cdot7^2\cdot13^5}$
	\item $\frac{45300}{145660}$
	\ee
\item Are $\frac{6}{15}$ and $\frac{8}{21}$ equivalent? Explain.
\item Which is bigger $\frac{3}{8}$ or $\frac{1}{4}$?  Draw a diagram to
explain your answer.
\item For each list of fractions, find equivalent fractions that have
common denominators.
	\be
	\item $\frac{4}{5}$, $\frac{3}{10}$
	\item $\frac{5}{28}$, $\frac{4}{15}$
	\item $\frac{2}{3}$, $\frac{4}{15}$, $\frac{6}{41}$
	\ee
\item For each list of fractions, find equivalent fractions that have
the least common denominator.
	\be
	\item $\frac{4}{5}$, $\frac{3}{10}$
	\item $\frac{5}{28}$, $\frac{4}{15}$
	\item $\frac{2}{3}$, $\frac{4}{15}$, $\frac{6}{41}$
	\ee
\item Find two fractions, $\frac{a}{b}$ and $\frac{c}{d}$, such that the
least common denominator for $\frac{a}{b}$ and $\frac{c}{d}$ is NOT equal
to ${\rm LCM}(b,d)$.
\item Use colored diagrams or fraction strips to explain why $\frac{2}{5} +
\frac {3}{4} \neq \frac {2+3}{5+4}$.
\item Use the area model to explain why $\frac{2}{5} \times
\frac {3}{4} = \frac {2\times3}{5\times4}$.
\item What is meant by $2 \frac{1}{3}$?
\ee
\end {document}
