Respuesta :
[tex]\bf \begin{array}{ccllll}
\begin{array}{llll}
peanut\\bat
\end{array}&
\begin{array}{llll}
peanut\\jar
\end{array}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2\frac{1}{6}&\frac{2}{5}\\\\
x&1
\end{array}\implies \cfrac{2\frac{1}{6}}{x}=\cfrac{\frac{2}{5}}{1}\implies \cfrac{\frac{2\cdot 6+1}{6}}{\frac{x}{1}}=\cfrac{\frac{2}{5}}{\frac{1}{1}}[/tex]
[tex]\bf \cfrac{\frac{13}{6}}{\frac{x}{1}}=\cfrac{2}{5}\cdot \cfrac{1}{1}\implies \cfrac{13}{6}\cdot \cfrac{1}{x}=\cfrac{2}{5}\implies \cfrac{13}{6x}=\cfrac{2}{5}\implies 13\cdot 5=2\cdot 6x \\\\\\ 65=12x\implies \cfrac{65}{12}=x\implies \boxed{5\frac{5}{12}=x} \\\\\\ \cfrac{5\cdot 12+5}{12}\implies \cfrac{65}{12}[/tex]
[tex]\bf \cfrac{\frac{13}{6}}{\frac{x}{1}}=\cfrac{2}{5}\cdot \cfrac{1}{1}\implies \cfrac{13}{6}\cdot \cfrac{1}{x}=\cfrac{2}{5}\implies \cfrac{13}{6x}=\cfrac{2}{5}\implies 13\cdot 5=2\cdot 6x \\\\\\ 65=12x\implies \cfrac{65}{12}=x\implies \boxed{5\frac{5}{12}=x} \\\\\\ \cfrac{5\cdot 12+5}{12}\implies \cfrac{65}{12}[/tex]
