Question

determine a fração irredutível A)9,333...+4,999... B)6,888...+5,777...
C)6,777...+8,999...
D)9,444...+3,888...

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Answer 1

a)

$9,333...+4,999... \\ = \frac{93 - 9}{9} + \frac{49 - 4}{9} \\ = \frac{84}{9} + \frac{45}{9}$

$= \frac{129}{9} = \frac{43}{3} \:$

b)

$6,888...+5,777... \\ \frac{68 - 6}{9} + \frac{57 - 5}{9} \\ = \frac{62}{9} + \frac{52}{9}$

$= \: \frac{114}{9} = \frac{38}{3}$

c)

$6,777...+8,999... \\ = \frac{67 - 6}{9} + \frac{89 - 8}{9} \\ = \frac{61}{9} + \frac{81}{9}$

$= \frac{142}{9}$

d)

$9,444...+3,888... \\ = \frac{94 - 9}{9} + \frac{38 - 3}{9} \\ = \frac{85}{9} + \frac{35}{9} = \frac{120}{9} = \frac{40}{3}$