Exercice 110 :
↓ Enoncé :
Calculer :
- \(\dfrac{28}{35} \times \dfrac{15}{42}\)
- \(\dfrac{8}{12} \times \dfrac{18}{32}\)
- \(\dfrac{45}{60} \times \dfrac{25}{54}\)
- \(\dfrac{12}{15} \times \dfrac{10}{21}\)
↓ Solution :
\[
\begin{align*}
\dfrac{28}{35} \times \dfrac{15}{42} &= \dfrac{28\times 15}{35\times 42} \\
&= \dfrac{420}{1470} \\
&= \dfrac{2}{7}
\end{align*}
\]
\[
\begin{align*}
\dfrac{8}{12} \times \dfrac{18}{32} &= \dfrac{144}{384} \\
&= \dfrac{3}{8}
\end{align*}
\]
\[
\begin{align*}
\dfrac{45}{60} \times \dfrac{25}{54} &= \dfrac{1125}{3240} \\
&= \dfrac{25}{72}
\end{align*}
\]
\[
\begin{align*}
\dfrac{12}{15} \times \dfrac{10}{21} &= \dfrac{120}{315} \\
&= \dfrac{8}{21}
\end{align*}
\]