Răspuns:
a) [tex]2,25(3) = \frac{2028}{900}[/tex]
b) 5,4 - 4,1(6) = 49,8(3)
c) 5,(5) + 4,(4) = 10
d) 0,8(3) - 0,(21) = 0,6(21)
Explicație pas cu pas:
a)
[tex]2,25(3) = \frac{2253-225}{900} = \frac{2028}{900}[/tex]
b)
[tex]5,4 - 4,1(6) = \frac{54}{10} - \frac{416-41}{90} = \frac{54}{10} - \frac{375}{90} = \frac{54*9-375}{90} = \frac{4860 - 375}{90} = \frac{4485}{90} = 49,8(3)[/tex]
c)
[tex]5,(5)+4,(4) = \frac{55-5}{9} + \frac{44-4}{9} = \frac{50+40}{9} = \frac{90}{9} = 10[/tex]
d)
[tex]0,8(3) - 0,(21) = \frac{83-8}{90} - \frac{21}{99} = \frac{75}{90} - \frac{21}{99} = \frac{5}{6} - \frac{7}{33} = \frac{5*11 - 7*2}{66} = \frac{55-14}{66} = \frac{41}{66} = 0,6(21)[/tex]
