Va rog repedee
Dau coroana.
Am nevoie de ambele exercitii rezolvate(mai exact toata poza)
Răspunsuri la întrebare
Răspuns:
3/4*21/8*48/35=27/10
7/3-5/4+13/6=28/12-15/12+26/12=39/12=13/4
19/30-1/24+14/9-1/36=19*2*3/360-15/360+40*14/360-15*10/360=114-15+560-150/360=509/360
6/5+5/6=36+25/30=61/30
2/15+15/2=4/30+225/30=229/30
61/30:229/30=61/30*30/229=61/229
6/19*38/18+11/5:33=2/3+11/5*1/33=2/3+1/5=10+3/15=13/15
(2/3+1/9)*18/5+1/8=7/9*18/5+1/8=14/5+1/8=112+5/40=117/40
2^2021 urmarim ultima cifra
2^1=2
2^2=4
2^3=8
2^4=16
2^5=32
Deci se repeta din 4 in 4
2021:4=505 rest 1 deci ultima cifra va fi 2
3^2021
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
Deci se repeta din 4 in 4
2021:4=505 rest 1 deci ultima cifra va fi 3
2^2021+3^2021 va avea ultima cifra 2+3 adica 5
4^2020+4 = 4(4^2019+1)
4^1=4
4^2=16
4^3=64
deci se repete din 2 in 2
2019:4=504 rest 3 deci ultima cifra va fi 4
4^2020+4 = 4(4^2019+1) va avea ultima cifra 4+1 = 5
Avand in vedere ca atat numaratorul cat si numitorul se termina in 5 atunci fractia este reductibila
123123/456456=41/8*19=41/152
123123=3*7*11*13*41
456456=2*2*2*3*7*11*13*19
3+6+9+..+300=3(1+2+3+4+...100)=3*100*101/2=3*50*101
4+8+12+..+400=4(1+2+3+4+....+100)=4*100*101/2=4*50*101
Deci fractia devine 3/4
Explicație pas cu pas: