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Worksheet Worksheet 4
1.
Convert \(\frac{23}{5}\) and \(\frac{25}{7}\) from improper fractions to mixed numbers without drawing a diagram.
2.
Convert \(3 \frac{2}{9}\) and \(4 \frac{4}{5}\) from mixed numbers to improper fractions without drawing a diagram.
3.
Completely reduce the fractions \(\frac{35}{60}\) and \(\frac{28m^2 n^3}{36m n^8}\text{.}\)
4.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\frac{4xy}{12x^2 y^3}
= \frac{4xy}{3xy^2 \cdot 4xy}
= \frac{\cancel{4xy}}{3xy^2 \cdot \cancel{4xy}}
= 3xy^2
\end{equation*}
5.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\frac{20x^2}{5x^5}
= \frac{4 \cdot 5x^2}{x^3 \cdot 5x^2}
= \frac{4 \cdot \cancel{5x^2}}{x^3 \cdot \cancel{5x^2}}
= 4x^3
\end{equation*}
