Exercice 114 :
↓ Enoncé :
Calculer :
- \(\dfrac{9}{14} \times \dfrac{28}{27} \times 6\)
- \(\dfrac{4}{15} \times \dfrac{45}{8} \times \dfrac{2}{3}\)
- \(\dfrac{18}{25} \times \dfrac{10}{9} \times \dfrac{5}{12}\)
- \(7 \times \dfrac{8}{21} \times \dfrac{3}{4}\)
↓ Solution :
\[
\begin{align*}
\dfrac{9}{14} \times \dfrac{28}{27} \times 6 &= \dfrac{9\times 28\times 6}{14\times 27\times 1} \\
&= \dfrac{1512}{378} \\
&= 4
\end{align*}
\]
\[
\begin{align*}
\dfrac{4}{15} \times \dfrac{45}{8} \times \dfrac{2}{3} &= \dfrac{4\times 45\times 2}{15\times 8\times 3} \\
&= \dfrac{360}{360} \\
&= 1
\end{align*}
\]
\[
\begin{align*}
\dfrac{18}{25} \times \dfrac{10}{9} \times \dfrac{5}{12} &= \dfrac{18\times 10\times 5}{25\times 9\times 12} \\
&= \dfrac{900}{2700} \\
&= \dfrac{1}{3}
\end{align*}
\]
\[
\begin{align*}
7 \times \dfrac{8}{21} \times \dfrac{3}{4} &= \dfrac{7\times 8\times 3}{1\times 21\times 4} \\
&= \dfrac{168}{84} \\
&= 2
\end{align*}
\]