Laviniacioinegelask
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[0,(3)+1,(3):17/9]:(1+1/12)
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Răspuns :

Dianageorgiana794ask

Răspuns:

[0,(3)+1,(3):17/9]:(1+1/12)=

[3/9+(13-1)/9:17/9]:(¹²⁾1+1/12)=

(3/9+12/9·9/17):(12/12+1/12)=

(¹⁷⁾3/9+⁹⁾12/17):13/12=

(51/153+108/153)·12/13=

159/153·12/13=212/221

Dariusbarbuask

Răspuns:

212/221

Explicație pas cu pas:

[0,(3) + 1,(3) : 17/9] : (1 + 1/12) =

[3/9 + (13 - 1)/9 : 17/9] : (1 + 1/12) =

(3/9 + 12/9 × 9/17) : 13/12 =

(3/9 + 12 × 1/17) × 12/13 =

(3/9 + 12/17) × 12/13 =

53/51 × 12/13 =

53/17 × 4/13 =

(53 × 4)/(17 × 13) =

212/221