Răspuns:
[tex]1)a) \: 13 - 7 = 6 \\ b) \frac{0}{7} . \frac{1}{7} . \frac{2}{7} . \frac{3}{7} . \frac{4}{7} . \frac{5}{7} . \frac{6}{7} . \frac{7}{7} \: 8 \: fractii \\ c) \frac{2}{1} . \frac{3}{1} . \frac{3}{2} . \frac{5}{1} . \frac{5}{2} . \frac{5}{3} . \frac{5}{4} \\ d) \frac{1101}{3033} = 0.363 \\ \frac{11}{33} = \frac{1}{3} = 0.333 \\ 0 .363 > 0.333 \\ \frac{1101}{3033} > \frac{11}{33} \\ \frac{11}{33} = \frac{1101}{3033} fals[/tex]
[tex]a) \frac{a}{b} = \frac{360}{250} = \frac{60}{50} = \frac{6}{5} \\ b) \frac{x}{5} = \frac{7}{y} \\ xy = 7 \times 5 \\ xy = 35 \\ 2xy + 7 = 2 \times 35 + 7 = 70 + 7 = 77 \\ c) \frac{27}{x} = \frac{81}{96} \\ \frac{27}{x} = \frac{27}{32} \\ 27 \times 32 = 27x \\ x = \frac{27 \times 32}{27} = 32[/tex]
[tex]2)a)2x + 3 < 15 \\ 2x < 12 \\ x < 6[/tex]
x€{0,1,2, 3,4,5}
Rezulta următoarele fracții :(2•0+3)/15=3/15
(2•1+3)/15=5/15
(2•2+3)/15=7/15
(2•3+3)/15=9/15
(2•4+3)/15=11/15
(2•5+3)/15=13/15
Pentru ca 5/15;7/15 ;11/15 și 13/15 sunt fracții ireductibile rezulta ca x€{1;2;4;5}
