Respuesta:
x = 1/5
Explicación paso a paso:
[tex]\frac{2+\frac{1}{2} }{x} =\frac{3+\frac{1}{3} }{(4-\frac{1}{4} )^{-1} }[/tex]
[tex]\frac{\frac{4+1}{2} }{x} =\frac{\frac{9+1}{3} }{(\frac{16-1}{4} )^{-1} }[/tex]
[tex]\frac{\frac{5}{2} }{x} =\frac{\frac{10}{3} }{(\frac{15}{4} )^{-1} }[/tex]
[tex]\frac{5.1}{2.x} =\frac{\frac{10}{3} }{\frac{4}{15} }[/tex]
[tex]\frac{5}{2x} =\frac{10.15}{3.4} }[/tex]
[tex]\frac{5}{2x} =\frac{150}{12} }[/tex]
[tex]5.12 = 150. 2x[/tex]
[tex]60 = 300[/tex]
[tex]\frac{60}{300} =x[/tex]
[tex]\frac{1}{5} =x[/tex]
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Respuesta:
x = 1/5
Explicación paso a paso:
[tex]\frac{2+\frac{1}{2} }{x} =\frac{3+\frac{1}{3} }{(4-\frac{1}{4} )^{-1} }[/tex]
[tex]\frac{\frac{4+1}{2} }{x} =\frac{\frac{9+1}{3} }{(\frac{16-1}{4} )^{-1} }[/tex]
[tex]\frac{\frac{5}{2} }{x} =\frac{\frac{10}{3} }{(\frac{15}{4} )^{-1} }[/tex]
[tex]\frac{5.1}{2.x} =\frac{\frac{10}{3} }{\frac{4}{15} }[/tex]
[tex]\frac{5}{2x} =\frac{10.15}{3.4} }[/tex]
[tex]\frac{5}{2x} =\frac{150}{12} }[/tex]
[tex]5.12 = 150. 2x[/tex]
[tex]60 = 300[/tex]
[tex]\frac{60}{300} =x[/tex]
[tex]\frac{1}{5} =x[/tex]