1. a)
[tex]0.(3) = \frac{3}{9} = \frac{1}{3} [/tex]
b)
[tex]2.(36) = 2 \frac{36}{99} = 2 \frac{4}{11} = \frac{2 \times 11 + 4}{11} = \frac{26}{11} [/tex]
c)
[tex]5.(135) = 5 \frac{135}{999} = 5 \frac{5}{37} = \frac{5 \times 37 + 5}{37} = \frac{190}{37} [/tex]
2.
[tex]7.5 = 7 \frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{15}{2} = \frac{30}{4} [/tex]
[tex] \frac{6 + 9 + 7 + x}{4} = \frac{30}{4} [/tex]
[tex]6 + 9 + 7 + x = 30[/tex]
[tex]22 + x = 30[/tex]
[tex]x = 8[/tex]
