Dzialania na ulamkach zwyklych
Dam Naj;D jak zawsze
Zalacznik
2 i 1/2 - 1 i 3/4= = 2 i 2/4 - 1 i 3/4= = 1 i 6/4 - 1 i 3/4= = 3/4 1 -3 i 2/3 = - 2 i 2/3 2 i 3/4 - 1 i 5/6= = 2 i 9/12 - 1 i 10/12 = = 1 i 21/12 - 1 i 10/12= = 11/12 3 + 1 i 1/2 - 2 i 2/3= = 4 i 1/2 - 2 i 2/3= = 4 i 3/6 - 2 i 4/6= = 3 i 9/6 - 2 i 4/6= = 1 i 5/6 0,75 - 2 i 3/4= = 75/100 - 2 i 3/4= = 3/4 - 2 i 3/4= = - 2 lub 0,75 - 2 i 3/4= = 0,75 - 2 i 75/100= = 0,75 - 2,75= = - 2 2 i 5/6 - 1 i 2/3= = 2 i 5/6 - 1 i 4/6= = 1 i1/6 1 i 3/4 - 3 i 1/2= = 1 i 3/4 - 3 i 2/4= = - 1 i 3/4 0,125 - 1i 2/5= = 125/1000 - 1 i 2/5= = 1/8 - 1 i 2/5= = 5/40 - 1 i 16/40= = - 1 i 11/40 lub 0,125 - 1 i 2/5= = 0,125 - 1 i 4/10= = 0,125 - 1,4= = - 1,275 7 i 1/2 : 3 i 3/4= = 15/2 : 15/4= = 15/2 * 4/15= ( skracam 15 z 15 oraz 2 z 4) = 1/1 * 2/1= = 2/1= = 2 5/8 : 10= = 5/8 * 1/10 = (skracam 5 z 10) = 1/8 * 1/2= = 1/16 1,4 : 1,75=0,8 lub 1,4 : 1,75 = = 1 i 4/10 : 1 i 75/100= = 14/10 : 175/100= = 14/10 * 100/175= = 14/1 * 10/175= = 140/175= = 20/25= = 4/5 2 i 1/3 * 4/9= = 7/3 * 4/9= = 28/27= = 1 i 1/27 4 i 1/2 - 1 i 2/3= = 4 i 3/6 - 1 i 4/6= = 3 i 9/6 - 1 i 4/6= = 2 i 5/6 3 i 1/2 * 8= = 7/2 * 8 = = 7/1 * 4= = 28/1= = 28 1,4 : 1i 4/7= =1 i 4/10 : 11/7= = 14/10 * 7/11= = 98/110= = 49/55 12 i 3/5 * 1 i 1/5 = = 63/5 * 6/5= = 378/25= = 15 i 3/25 5 i 1/3 : 3 i 3/4 = = 16/3 : 15/4= = 16/3 * 4/15= = 64/45= = 1 i 19/45 1 i 2/3 - 0,75= = 1 i 2/3 - 75/100= = 1 i 2/3 - 3/4= = 1 i 8/12 - 9/12= = 20/12 - 9/12= = 11/12 - 7 i 1/5 : (- 12 i 4/9) = = - 36/5 : (- 112/9)= = - 36/5 * (-9/112)= = - 4/5 * (- 9/28)= = 36/140= = 9/35 1 i 2/3 + 2 i 1/4= = 1 i 8/12 + 2 i 3/12= = 3 i 11/12 5/8 : 2= = 5/8 * 1/2= = 5/16 2 - 1 i 1/2 -------------- = 4 i 3/4 """ 1/2 = --------- = """ 4 i 3/4 1/2 : 19/4= = 1/2 * 4/19= = 1/1 * 2/19= = 2/19 5 * (0,6 - 8/5)= = 5 * ( 6/10 - 16/10)= = 5 * (-10/10)= = 5 * (-1)= = - 5
4/7 : 1 i 5/21= = 4/7 : 26/21= = 4/7 * 21/26= = 2/1 * 3/13= = 6/13 0,5 : 1/2 - √4= = 0,5 : 5/10 - 2= = 0,5 : 0,5 - 2= = 1 - 2= = - 1 1 i 1/3 * (0,5)^2 + 2/3= = 1 i 1/3 * (5/10)^2 + 2/3= = 1 i 1/3 *(1/2)^2 + 2/3= = 1 i 1/3 + 1/4 + 2/3= = 1 i 4/12 + 3/12 + 8/12= = 1 i 15/12= = 2 i 3/12= = 2 i 1/4 -3 i 1/5 : (4,1 - 3 i 3/8)= = - 3 i 1/5 : ( 4 i 1/10 - 3 i 3/8)= = - 3 i 1/5 : ( 4 i 4/40 - 3 i 15/40)= = - 3 i 1/5 : ( 3 i 44/40 - 3 i 15/40)= = - 16/5 : 29/40= = - 16/5 * 40/29= = - 16/1 * 8/29= = - 128/29= = - 4 i 12/29 2 i 3/4 - 1 i 5/9= = 2 i 27/36 - 1 i 20/36= = 1 i 7/36 5 i 2/3 - 6 i 3/8= = 5 i 16/24 - 6 i 9/24= = - 17/24 2 i 1/3 - 1 i 1/3 : 2 i 2/3 = = 2 i2/3 - 4/3 : 8/3= = 2 i 2/3 - 4/3 * 3/8= = 2 i 2/3 - 1/1 * 1/2= = 2 i 2/3 - 1/2= = 2 i 4/6 - 3/6= = 2 i 1/6
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2 i 1/2 - 1 i 3/4=
= 2 i 2/4 - 1 i 3/4=
= 1 i 6/4 - 1 i 3/4=
= 3/4
1 -3 i 2/3 = - 2 i 2/3
2 i 3/4 - 1 i 5/6=
= 2 i 9/12 - 1 i 10/12 =
= 1 i 21/12 - 1 i 10/12=
= 11/12
3 + 1 i 1/2 - 2 i 2/3=
= 4 i 1/2 - 2 i 2/3=
= 4 i 3/6 - 2 i 4/6=
= 3 i 9/6 - 2 i 4/6=
= 1 i 5/6
0,75 - 2 i 3/4=
= 75/100 - 2 i 3/4=
= 3/4 - 2 i 3/4=
= - 2
lub
0,75 - 2 i 3/4=
= 0,75 - 2 i 75/100=
= 0,75 - 2,75=
= - 2
2 i 5/6 - 1 i 2/3=
= 2 i 5/6 - 1 i 4/6=
= 1 i1/6
1 i 3/4 - 3 i 1/2=
= 1 i 3/4 - 3 i 2/4=
= - 1 i 3/4
0,125 - 1i 2/5=
= 125/1000 - 1 i 2/5=
= 1/8 - 1 i 2/5=
= 5/40 - 1 i 16/40=
= - 1 i 11/40
lub
0,125 - 1 i 2/5=
= 0,125 - 1 i 4/10=
= 0,125 - 1,4=
= - 1,275
7 i 1/2 : 3 i 3/4=
= 15/2 : 15/4=
= 15/2 * 4/15= ( skracam 15 z 15 oraz 2 z 4)
= 1/1 * 2/1=
= 2/1=
= 2
5/8 : 10=
= 5/8 * 1/10 = (skracam 5 z 10)
= 1/8 * 1/2=
= 1/16
1,4 : 1,75=0,8
lub
1,4 : 1,75 =
= 1 i 4/10 : 1 i 75/100=
= 14/10 : 175/100=
= 14/10 * 100/175=
= 14/1 * 10/175=
= 140/175=
= 20/25=
= 4/5
2 i 1/3 * 4/9=
= 7/3 * 4/9=
= 28/27=
= 1 i 1/27
4 i 1/2 - 1 i 2/3=
= 4 i 3/6 - 1 i 4/6=
= 3 i 9/6 - 1 i 4/6=
= 2 i 5/6
3 i 1/2 * 8=
= 7/2 * 8 =
= 7/1 * 4=
= 28/1=
= 28
1,4 : 1i 4/7=
=1 i 4/10 : 11/7=
= 14/10 * 7/11=
= 98/110=
= 49/55
12 i 3/5 * 1 i 1/5 =
= 63/5 * 6/5=
= 378/25=
= 15 i 3/25
5 i 1/3 : 3 i 3/4 =
= 16/3 : 15/4=
= 16/3 * 4/15=
= 64/45=
= 1 i 19/45
1 i 2/3 - 0,75=
= 1 i 2/3 - 75/100=
= 1 i 2/3 - 3/4=
= 1 i 8/12 - 9/12=
= 20/12 - 9/12=
= 11/12
- 7 i 1/5 : (- 12 i 4/9) =
= - 36/5 : (- 112/9)=
= - 36/5 * (-9/112)=
= - 4/5 * (- 9/28)=
= 36/140=
= 9/35
1 i 2/3 + 2 i 1/4=
= 1 i 8/12 + 2 i 3/12=
= 3 i 11/12
5/8 : 2=
= 5/8 * 1/2=
= 5/16
2 - 1 i 1/2
-------------- =
4 i 3/4
""" 1/2
= --------- =
""" 4 i 3/4
1/2 : 19/4=
= 1/2 * 4/19=
= 1/1 * 2/19=
= 2/19
5 * (0,6 - 8/5)=
= 5 * ( 6/10 - 16/10)=
= 5 * (-10/10)=
= 5 * (-1)=
= - 5
4/7 : 1 i 5/21=
= 4/7 : 26/21=
= 4/7 * 21/26=
= 2/1 * 3/13=
= 6/13
0,5 : 1/2 - √4=
= 0,5 : 5/10 - 2=
= 0,5 : 0,5 - 2=
= 1 - 2=
= - 1
1 i 1/3 * (0,5)^2 + 2/3=
= 1 i 1/3 * (5/10)^2 + 2/3=
= 1 i 1/3 *(1/2)^2 + 2/3=
= 1 i 1/3 + 1/4 + 2/3=
= 1 i 4/12 + 3/12 + 8/12=
= 1 i 15/12=
= 2 i 3/12=
= 2 i 1/4
-3 i 1/5 : (4,1 - 3 i 3/8)=
= - 3 i 1/5 : ( 4 i 1/10 - 3 i 3/8)=
= - 3 i 1/5 : ( 4 i 4/40 - 3 i 15/40)=
= - 3 i 1/5 : ( 3 i 44/40 - 3 i 15/40)=
= - 16/5 : 29/40=
= - 16/5 * 40/29=
= - 16/1 * 8/29=
= - 128/29=
= - 4 i 12/29
2 i 3/4 - 1 i 5/9=
= 2 i 27/36 - 1 i 20/36=
= 1 i 7/36
5 i 2/3 - 6 i 3/8=
= 5 i 16/24 - 6 i 9/24=
= - 17/24
2 i 1/3 - 1 i 1/3 : 2 i 2/3 =
= 2 i2/3 - 4/3 : 8/3=
= 2 i 2/3 - 4/3 * 3/8=
= 2 i 2/3 - 1/1 * 1/2=
= 2 i 2/3 - 1/2=
= 2 i 4/6 - 3/6=
= 2 i 1/6
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