Question

Va rog ajutor la aceasta ecuatie 0,1(3)/x=0,(3)/7,5 !

Answer 1

0,1(3)=(13-1)/90=12/90=4/30=2/15

0,(3)=3/9=1/3

(2/15)/x=(1/3)/7,5=>
2/15x=1/3×7,5=>
2/15x=1/22,5=>
2×22,5=15x=>
45,0=15x=>
x=3

Answer 2

[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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