e) 5 i 1/3 - 1 i 3/4 + 1 i 2/3 * 1 i 1/5 = 5 i 4/12 - 1 i 9/12 + 5/3 * 6/5 = 5 i 4/12 - 1 i 9/12 + 6/3 = 4 i 16/12 - 1 i 9/12 + 2 = 3 i 7/12 + 2 = 5 i 7/12
Filo20
A) (2 i 1/3+1 i 1/4):1 i 1/2=(2 i 4/12 + 1 i 3/12)*2/3=3 i 7/12 *2/3=43/12*2/3= =43/18=2 i 7/18 b) 2 i 1/3 ○ ( 5 i 1/2 - 1 i 3/4 ) =7/3*(5 i 2/4-1 i 3/4)=7/3*3 i 3/4= 7/3*15/4=105/12= 8 i 9/12 c) 1/2 + 1/3 - 1/4 ----------------------- = 1 i 1/2 =(6/12+4/12-3/12)/(3/2)=7/12*2/3=14/36=7/18 d) 1 i 1/2 + 2 i 3/4 ----------------------- = 1 i 1/4 =(3/2+11/4)/(5/4)=17/4*4/5=17/5=3 i 2/5
e) 5 i 1/3 - 1 i 3/4 + 1 i 2/3 ○ 1 i 1/5 =16/3-7/4+((5/3)*(6/5))=64/12-21/12+2=41/12+2=5 i 5/12
z.2 Same odp. a) 18 b) -61 c) 14 d) -69 e) 393 f)173
Oblicz:
a) (2 i 1/3 + 1 i 1/4 ) : 1 i 1/2 = (2 i 4/12 + 1 i 3/12) : 3/2 = 3 i 7/12 : 3/2 = 43/12 * 2/3 = 43/18 = 2 i 7/12
b) 2 i 1/3 * ( 5 i 1/2 - 1 i 3/4 ) = 7/3 * (4 i 6/4 - 1 i 3/4 ) = 7/3 * 3 i 3/4 = 7/3 * 15/4 = 35/4 = 8 i 3/4
c) 1/2 + 1/3 - 1/4 6/12 + 4/12 + 3/12
----------------------- =--------------------
1 i 1/2 3/2
=13/12 * 2/3 = 13/18
d) 1 i 1/2 + 2 i 3/4 3/2 + 11/4
----------------------- = ---------------
1 i 1/4 5/4
6/4 + 11/4
= --------------- = 17/4 * 4/5 =17/5= 2 i 2/5
5/4
e) 5 i 1/3 - 1 i 3/4 + 1 i 2/3 * 1 i 1/5 = 5 i 4/12 - 1 i 9/12 + 5/3 * 6/5 = 5 i 4/12 - 1 i 9/12 + 6/3 = 4 i 16/12 - 1 i 9/12 + 2 = 3 i 7/12 + 2 = 5 i 7/12
zadanie.2.
Oblicz:
a) 86 - 68 = 17
b) -24 - 37 = -61
c) -19 - ( -33 ) = -19 +33 = 14
d) 27 + ( -96 ) = -69
e) 144 - ( - 249 ) = 144 + 249 = 393
f) 253 + ( -426 ) = -173
zadanie.3.
Oblicz:
a) 7 * ( -21 ) = -147
b) -16 * 5 = -80
c) -8 * ( -13 ) = 104
d) 75 : ( -15 ) = -5
e) -84 : 21 = -4
f) -60 : ( -12 ) = 5
=43/18=2 i 7/18
b) 2 i 1/3 ○ ( 5 i 1/2 - 1 i 3/4 ) =7/3*(5 i 2/4-1 i 3/4)=7/3*3 i 3/4= 7/3*15/4=105/12=
8 i 9/12
c) 1/2 + 1/3 - 1/4
----------------------- =
1 i 1/2
=(6/12+4/12-3/12)/(3/2)=7/12*2/3=14/36=7/18
d) 1 i 1/2 + 2 i 3/4
----------------------- =
1 i 1/4
=(3/2+11/4)/(5/4)=17/4*4/5=17/5=3 i 2/5
e) 5 i 1/3 - 1 i 3/4 + 1 i 2/3 ○ 1 i 1/5 =16/3-7/4+((5/3)*(6/5))=64/12-21/12+2=41/12+2=5 i 5/12
z.2
Same odp.
a) 18
b) -61
c) 14
d) -69
e) 393
f)173
z.3
a) -147
b) -80
c) 104
d) -5
e) -4
f) 5
ps.
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