Răspuns :

Răspuns:

  • [tex]\bf(A)\:\:\:\:\bf 1,(27)= \dfrac{126}{99}[/tex]
  • [tex]\bf(B)\:\: \:\: \:\bf 0,3(6)= \dfrac{33}{90}[/tex]
  • [tex]\bf (C)\:\:\:\:\:\bf 0,42= \dfrac{42}{100}[/tex]
  • [tex]\bf (D)\:\:\:\:\:\bf 2,1(3)= \dfrac{192}{90}[/tex]

Explicație pas cu pas:

Salutare!

(A)

[tex]\bf 1,(27)= \dfrac{127-1}{99} = \dfrac{126}{99} \:\:\: sau \:\:\: \dfrac{\not126}{\not99} =\dfrac{14}{11}[/tex]

(B)

[tex]\bf 0,3(6)= \dfrac{36-3}{90} = \dfrac{33}{90} \:\:\: sau \:\:\: \dfrac{\not33}{\not90} =\dfrac{11}{30}[/tex]

(C)

[tex]\bf 0,42= \dfrac{42}{100} \:\:\: sau \:\:\: \dfrac{\not42}{\not100} =\dfrac{21}{50}[/tex]

(D)

[tex]\bf 2,1(3)= \dfrac{213-21}{90} = \dfrac{192}{90} \:\:\: sau \:\:\: \dfrac{\not192}{\not90} =\dfrac{32}{15}[/tex]

#copaceibrainly

Cocirmariadenisid

Răspuns:

Explicație pas cu pas:

a)  

1,(27) = ( 127-1)/99 = (126/99)⁽³ = (126:3)/(99:3) = (42/33)⁽³=(42:3) /(33:3) = 14/11

b)

0,3(6) = ( 36-3)/90 = (33/90)³ = (33:3)/(90:3) = 11/30

c)

0,42 = 42/100

(42/100)⁽² = 21/50 fracție ireductibilă

d)

2,1(3) = (213-21)/90 = (192 /90 )⁽² =(192:2)/(90:2)= (96/45)³ =32/15 fracție ireductibilă