Matematyka
 
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Autorzy: Joanna Czarnowska, Jolanta Wesołowska, Wojciech Babiański, Lech Chańko
Wydawnictwo: Nowa Era
Rok wydania: 2014
Oblicz 4.38 gwiazdek na podstawie 8 opinii

 

 

 

 

 

 

 

 

 

 

`1,8*(3,3-4 1/2:3 3/4)/(5,6:2 1/3+2,5)=1,8*(3,3-9/2:15/4)/(56/10:7/3+2 5/10)=1,8*(3,3-strike9^3/strike2^1*strike4^2/strike15^5)/(strike56^8/10*3/strike7^1+2 5/10)=18/10*(3 3/10-6/5)/(24/10+2 5/10)=9/5*(3 3/10-1 1/5)/(24/10+25/10)=9/5*(3 3/10-1 2/10)/(49/10)=9/5*(2 1/10)/(\ \ 49/10\ \ )=`  

`=9/5*(21/10)/(\ \ 49/10\ \ )=9/5*21/10:49/10=9/5*strike21^3/strike10^1*strike10^1/strike49^7=9/5*3/7=27/35`  

 

 

 

`d)`  

`0,75+((0,75*4/3):1 1/4)/(0,72-1/5:1 2/3)=3/4+((3/4*4/3):5/4)/(72/100-1/5:5/3)=3/4+(1:5/4)/(18/25-1/5*3/5)=3/4+(1*4/5)/(18/25-3/25)=3/4+(4/5)/(15/25)=3/4+(4/5)/(3/5)=3/4+4/5:3/5=3/4+4/strike5^1*strike5^1/3=`  

`=3/4+4/3=3/4+1 1/3=9/12+1 4/12=1 13/12=2 1/12`  

 

 

 

`e)`  

`(2 1/12+1 1/8)/((2 1/3+1 2/5)*1,5-7):3 3/4=(2 2/24+1 3/24)/((2 5/15+1 6/15)*15/10-7):15/4=(3 5/24)/(3 11/15*3/2-7)*4/15=(77/24)/(strike56^28/strike15^5*strike3^1/strike2^1-7)*4/15=(77/24)/(28/5-35/5)*4/15=(77/24)/(\ \ -7/5\ \ )*4/15=`  

`=77/24:(-7/5)*4/15=strike77^11/24*(-strike5^1/strike7^1)*4/strike15^3=-11/strike24^6*strike4^1/3=-11/18`  

 

 

`f)`  

`2,125-(4/21:2/35-3 1/9*3/7)/(4 4/9*0,4)=2 125/1000-(strike4^2/(strike21\ ^3)*strike35^5/strike2^1-strike28^4/strike9^3*strike3^1/strike7^1)/(strike40^4/9*4/strike10^1)=2 1/8-(10/3-4/3)/(16/9)=2 1/8-(\ \ 6/3\ \ )/(16/9)=2 1/8-2/(\ \ 16/9\ \ )=`  

`=2 1/8-2:16/9=2 1/8-strike2^1*9/strike16^8=2 1/8-9/8=2 1/8-1 1/8=1`