Matematyka
 
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Autorzy: Wojciech Babiański, Lech Chańko, Dorota Ponczek
Wydawnictwo: Nowa Era
Rok wydania: 2015
Oblicz wartości ułamków x, y, z 4.33 gwiazdek na podstawie 6 opinii

 

 

 

       

 

         

 

 

 

 

`x=1+1/(2+1/2)=` `1+1/(2 1/2)=` `1+1/(5/2)=` `1+2/5=1 2/5` 

 

`y=1+1/(2+1/(2+1/2))=` `1+1/(2+1/(2 1/2))=` `1+1/(2+1/(5/2))=` `1+1/(2+2/5)=` 

`\ \ \ =1+1/(2 2/5)=` `1+1/(12/5)=1+5/12=1 5/12` 

 

`z=1+1/(2+1/(2+1/(2+1/2)))=` `1+1/(2+1/(2+1/(2 1/2)))=` `1+1/(2+1/(2+1/(5/2)))=` 

`\ \ \ =1+1/(2+1/(2+2/5))=` `1+1/(2+1/(2 2/5))=` `1+1/(2+1/(12/5))=` 

`\ \ \ =1+1/(2+5/12)=` `1+1/(2 5/12)=` `1+1/(29/12)=1+12/29=1 12/29`