👤

15 Cât la sută reprezintă :

D) 0,(5) din 0,(3);

E) 1,(2) din 0,(4)

F) 1,(1) din 1,(1) ?


Răspuns :

[tex] \frac{x}{100} \times 0.(3) = 0.(5)[/tex]

[tex] \frac{x}{100} \times \frac{3}{9} = \frac{5}{9} [/tex]

[tex] \frac{x}{100} \times \frac{1}{3} = \frac{5}{9} [/tex]

[tex] \frac{x}{300} = \frac{5}{9} [/tex]

[tex]9x = 1500[/tex]

[tex]x = \frac{1500}{9} [/tex]

[tex]x = \frac{500}{3} [/tex]

[tex]x = 166.(6)[/tex]

[tex]x = 166.66 \: la \: suta[/tex]

[tex] \frac{y}{100} \times 0.(4) = 1.(2)[/tex]

[tex] \frac{y}{100} \times \frac{4}{9} = \frac{12 - 1}{9} [/tex]

[tex] \frac{4y}{900} = \frac{11}{9} [/tex]

[tex]36y = 9900[/tex]

[tex]y = \frac{9900}{36} [/tex]

[tex]y = 275 \: la \:suta[/tex]

[tex] \frac{z}{100} \times 1.(1) = 1.(1)[/tex]

[tex] \frac{z}{100} \times \frac{11 - 1}{9} = \frac{11 - 1}{9} [/tex]

[tex] \frac{z}{100} \times \frac{10}{9} = \frac{10}{9} \: | \div \frac{10}{9} [/tex]

[tex] \frac{z}{100} = 1[/tex]

[tex]z = 100 \: la \: suta[/tex]