Exercice 108 :
↓ Enoncé :
Calculer :
- \(\dfrac{6}{8} \times \dfrac{4}{5}\)
- \(\dfrac{9}{12} \times \dfrac{3}{4}\)
- \(\dfrac{10}{15} \times \dfrac{9}{6}\)
- \(\dfrac{16}{20} \times \dfrac{25}{8}\)
↓ Solution :
\[
\begin{align*}
\dfrac{6}{8} \times \dfrac{4}{5} &= \dfrac{6\times 4}{8\times 5} \\
&= \dfrac{24}{40} \\
&= \dfrac{3}{5}
\end{align*}
\]
\[
\begin{align*}
\dfrac{9}{12} \times \dfrac{3}{4} &= \dfrac{9\times 3}{12\times 4} \\
&= \dfrac{27}{48} \\
&= \dfrac{9}{16}
\end{align*}
\]
\[
\begin{align*}
\dfrac{10}{15} \times \dfrac{9}{6} &= \dfrac{10\times 9}{15\times 6} \\
&= \dfrac{90}{90} \\
&= 1
\end{align*}
\]
\[
\begin{align*}
\dfrac{16}{20} \times \dfrac{25}{8} &= \dfrac{16\times 25}{20\times 8} \\
&= \dfrac{400}{160} \\
&= \dfrac{5}{2}
\end{align*}
\]