Exercice 106 :
↓ Enoncé :
Calculer :
- \(\dfrac{3}{5} \times \dfrac{7}{9}\)
- \(\dfrac{8}{11} \times \dfrac{5}{6}\)
- \(\dfrac{2}{7} \times \dfrac{9}{4}\)
- \(3 \times \dfrac{5}{12}\)
↓ Solution :
\[
\begin{align*}
\dfrac{3}{5} \times \dfrac{7}{9} &= \dfrac{3\times 7}{5\times 9} \\
&= \dfrac{21}{45} \\
&= \dfrac{7}{15}
\end{align*}
\]
\[
\begin{align*}
\dfrac{8}{11} \times \dfrac{5}{6} &= \dfrac{8\times 5}{11\times 6} \\
&= \dfrac{40}{66} \\
&= \dfrac{20}{33}
\end{align*}
\]
\[
\begin{align*}
\dfrac{2}{7} \times \dfrac{9}{4} &= \dfrac{2\times 9}{7\times 4} \\
&= \dfrac{18}{28} \\
&= \dfrac{9}{14}
\end{align*}
\]
\[
\begin{align*}
3 \times \dfrac{5}{12} &= \dfrac{3\times 5}{1\times 12} \\
&= \dfrac{15}{12} \\
&= \dfrac{5}{4}
\end{align*}
\]