Răspuns :
[tex]a) \frac{x}{3} = \frac{5}{1} [/tex]
[tex]x = \frac{3 \times 5}{1} [/tex]
[tex]x = \frac{15}{1} [/tex]
[tex]x = 15[/tex]
[tex]b) \frac{0.(3)}{x} = \frac{2}{0.(2)} [/tex]
[tex] \frac{ \frac{3}{9} }{x} = \frac{2}{ \frac{2}{9} } [/tex]
[tex] 2x = \frac{3}{9} \times \frac{2}{9} [/tex]
[tex]2x = \frac{3 \times 2}{9 \times 9} [/tex]
[tex]2x = \frac{6}{81} [/tex]
[tex]2x = \frac{2}{27} [/tex]
[tex]2x \times 27 = 2[/tex]
[tex]54x = 2[/tex]
[tex]x = \frac{2}{54} [/tex]
[tex]x = \frac{1}{27} [/tex]
[tex]c) \frac{x}{0.5} = \frac{1}{ \frac{2}{3} }[/tex]
[tex] \frac{x}{ \frac{5}{10} } = 1 \times \frac{3}{2} [/tex]
[tex]x \times \frac{10}{5} = \frac{3}{2} [/tex]
[tex]x \times 2 = \frac{3}{2} [/tex]
[tex]2x = \frac{3}{2} [/tex]
[tex]2x \times 2 = 3[/tex]
[tex]4x = 3[/tex]
[tex]x = \frac{3}{4} [/tex]
[tex]d) \frac{1}{ \frac{4}{2} } = \frac{3}{ \frac{2}{x} } [/tex]
[tex] \frac{1}{2} = 3 \times \frac{x}{2} [/tex]
[tex] \frac{1}{2} = \frac{3x}{2} [/tex]
[tex]3x = 1[/tex]
[tex]x = \frac{1}{3} [/tex]
[tex]x = \frac{3 \times 5}{1} [/tex]
[tex]x = \frac{15}{1} [/tex]
[tex]x = 15[/tex]
[tex]b) \frac{0.(3)}{x} = \frac{2}{0.(2)} [/tex]
[tex] \frac{ \frac{3}{9} }{x} = \frac{2}{ \frac{2}{9} } [/tex]
[tex] 2x = \frac{3}{9} \times \frac{2}{9} [/tex]
[tex]2x = \frac{3 \times 2}{9 \times 9} [/tex]
[tex]2x = \frac{6}{81} [/tex]
[tex]2x = \frac{2}{27} [/tex]
[tex]2x \times 27 = 2[/tex]
[tex]54x = 2[/tex]
[tex]x = \frac{2}{54} [/tex]
[tex]x = \frac{1}{27} [/tex]
[tex]c) \frac{x}{0.5} = \frac{1}{ \frac{2}{3} }[/tex]
[tex] \frac{x}{ \frac{5}{10} } = 1 \times \frac{3}{2} [/tex]
[tex]x \times \frac{10}{5} = \frac{3}{2} [/tex]
[tex]x \times 2 = \frac{3}{2} [/tex]
[tex]2x = \frac{3}{2} [/tex]
[tex]2x \times 2 = 3[/tex]
[tex]4x = 3[/tex]
[tex]x = \frac{3}{4} [/tex]
[tex]d) \frac{1}{ \frac{4}{2} } = \frac{3}{ \frac{2}{x} } [/tex]
[tex] \frac{1}{2} = 3 \times \frac{x}{2} [/tex]
[tex] \frac{1}{2} = \frac{3x}{2} [/tex]
[tex]3x = 1[/tex]
[tex]x = \frac{1}{3} [/tex]
