[tex] \frac{0,1(3)}{x} = \frac{0,(3)}{7,5} \\\\
Transformam~fiecare~fractie~zecimala~in~fractie~ireductibila\\\\
0,1(3)= \frac{13-1}{90}= \frac{12}{90}= \frac{2}{15} \\\\
0,(3)= \frac{3}{9} = \frac{1}{3} \\\\
7,5= \frac{75}{10} = \frac{15}{2} \\\\
Acum~rescriem~ecuatia~si~aflam~termenul~necunoscut\\\\\
\frac{ \frac{2}{15} }{x} = \frac{ \frac{1}{3} }{ \frac{15}{2} } =\ \textgreater \ x= \frac{ \frac{2}{15} * \frac{15}{2} }{ \frac{1}{3} } =\ \textgreater \ x=1* \frac{3}{1} =\ \textgreater \ x=3[/tex]
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