Exercice 113 :
↓ Enoncé :
Calculer :
- \(\dfrac{5}{8} \times \dfrac{16}{25} \times \dfrac{10}{7}\)
- \(4 \times \dfrac{7}{9} \times \dfrac{27}{28}\)
- \(\dfrac{12}{15} \times \dfrac{25}{18} \times \dfrac{9}{10}\)
- \(\dfrac{6}{11} \times 22 \times \dfrac{5}{12}\)
↓ Solution :
\[
\begin{align*}
\dfrac{5}{8} \times \dfrac{16}{25} \times \dfrac{10}{7} &= \dfrac{5\times 16\times 10}{8\times 25\times 7} \\
&= \dfrac{800}{1400} \\
&= \dfrac{4}{7}
\end{align*}
\]
\[
\begin{align*}
4 \times \dfrac{7}{9} \times \dfrac{27}{28} &= \dfrac{4\times 7\times 27}{1\times 9\times 28} \\
&= \dfrac{756}{252} \\
&= 3
\end{align*}
\]
\[
\begin{align*}
\dfrac{12}{15} \times \dfrac{25}{18} \times \dfrac{9}{10} &= \dfrac{12\times 25\times 9}{15\times 18\times 10} \\
&= \dfrac{2700}{2700} \\
&= 1
\end{align*}
\]
\[
\begin{align*}
\dfrac{6}{11} \times 22 \times \dfrac{5}{12} &= \dfrac{6\times 22\times 5}{11\times 1\times 12} \\
&= \dfrac{660}{132} \\
&= 5
\end{align*}
\]