Ex. 5
[tex]5,(5)=5\frac{5}{9} =\frac{5*9+5}{9} =\frac{50}{9}[/tex]
[tex]7,(4) = 7\frac{4}{9}=\frac{7*9+4}{9} =\frac{67}{9}[/tex]
[tex]0,(23)=\frac{23}{99}[/tex]
[tex]0,(40) = \frac{40}{99}[/tex]
Ex. 6
[tex]3,2(4) = 3\frac{24-2}{90}=3\frac{22}{90}^{(2}= 3\frac{11}{45} =\frac{3*45+11}{45} =\frac{146}{45}[/tex]
[tex]5,3(5) = 5\frac{35-3}{90}=5\frac{32}{90}^{(2}=5\frac{16}{45} =\frac{5*45+16}{45} =\frac{241}{45}[/tex]
[tex]2,2(8) = 2\frac{28-2}{90} =2\frac{26}{90}^{(2} =2\frac{13}{45} =\frac{2*45+13}{45}=\frac{103}{45}[/tex]
[tex]4,9(05) = 4\frac{905-9}{990}=4\frac{896}{990}^{(2}=4\frac{448}{495} =\frac{4*495+448}{495}=\frac{2428}{495}[/tex]
[tex]3,0(24) = 3\frac{24}{990}^{(6}=3\frac{4}{165} =\frac{3*165+4}{165}= \frac{499}{165}[/tex]
[tex]1,2(16) = 1\frac{216-2}{990}=1\frac{214}{990}^{(2}=1\frac{107}{495}=\frac{1*495+107}{495} = \frac{602}{495}[/tex]
Pentru detalii legate de modul de transformare vezi aici
https://brainly.ro/tema/2292212
