Worksheet Worksheet 5
1.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
\frac{5}{14} \cdot \frac{7}{15} \amp = \frac{5}{2 \cdot 7} \cdot \frac{7}{3 \cdot 5} \amp \eqnspacer \amp \text{Identify common factors} \\
\amp = \frac{\cancel{5}}{2 \cdot \cancel{7}} \cdot \frac{\cancel{7}}{3 \cdot \cancel{5}} \amp \amp \text{Reduce} \\
\amp = 6
\end{aligned}
\end{equation*}
2.
Calculate \(\frac{15p^2}{7q} \cdot \frac{21 pq }{5}\text{.}\)
3.
Calculate \(\frac{x^2 - 1}{x^2 - x - 6} \cdot \frac{x^2 - 5x + 6}{x + 1}\text{.}\)