[tex]a) \: \frac{x}{3} = \frac{5}{1} = > x = \frac{3 \times 5}{1} = 15. \\ b) \: \frac{0.(3)}{x} = \frac{2}{0.(2)} = > x = \frac{0.(3) \times 0.(2)}{2} \\ x = \frac{ \frac{3}{9} \times \frac{2}{9} }{2} = \frac{ \frac{6}{81} }{2} = \frac{6}{81} \times \frac{1}{2} = \frac{6}{2*81} \times \frac{3}{81} \\ x = \frac{1}{27} . \\ c) \: \frac{x}{0.5} = \frac{ \frac{1}{2} }{3} = > x = \frac{ \frac{1}{2} \times 0.5 }{3} = \frac{ \frac{1}{2} \times \frac{1}{2} }{3} \\ x = \frac{ \frac{1}{4} }{3} = \frac{1}{12} . \\ d) \: \frac{ \frac{1}{4} }{2} = \frac{ \frac{3}{2} }{x} = > x = \frac{2 \times \frac{3}{2} }{ \frac{1}{4} } = \frac{ \frac{6}{2} }{ \frac{1}{4} } = \frac{3}{ \frac{1}{4} } \\ x = 3 \times 4 = 12.[/tex]
