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aratati ca a=b............

Aratati Ca Ab class=

Răspuns :

Cocirmariadenis

a = 3,(3) + 0,(6)

a = ( 33 - 3) / 9 + 6 / 9

a = 30 / 9 + 2 / 3

a = 10 / 3 + 2 / 3 = 12 / 3 = 4

a = 4

__________

b = 1,( 2) + 2,( 7 ) = ( 12 - 1 ) / 9 + ( 27 - 2 ) / 9 = 11 / 9 + 25 / 9 = 36 / 9 = 4

b = 4

___________

⇒ a = b = 4


[tex]a = 3.(3) + 0.6 \\ a = \frac{33 - 3}{90} + \frac{6}{9} \\ a = \frac{30}{90} + \frac{2}{3} \\ a = \frac{1}{30} + \frac{2}{3} \\ a = \frac{1 + 20}{30} \\ a = \frac{21}{30} = \frac{7}{10} [/tex]
[tex]b = 1.(2) + 2.(7) \\ b = \frac{12 - 1}{90} + \frac{27 - 2}{90} \\ b = \frac{11}{90} + \frac{25}{90} = \frac{36}{90} = \frac{12}{30} = \frac{4}{10} = \frac{2}{5} [/tex]

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