Question

DAU 20 de puncte si coronita la cel m bun :)VA ROGGGGGGGGGGGGGGG:!
a)-19/63+(-1.7+1 si 1/35:1 si 13/14):(-7,4(6)+2,45:21/55)
b)[-0,(2)-0,(5)-0,(3)]+[-0,(296)]·(-0,41(6)+1/3-0,291(6)]
c)[(-0,75):(-0,25)]²·[0,1(6)-1 si 5/12]·[-0,0(4)]

Answer 1

a) 1intreg1/35=(1x35+1)/35=36/35
1intreg13/14=(1x14+13)/14=27/13
1,7=17/10
7,4(6)=(746-74)/90=672/90=simplificam cu 6=112/15
2,45=245/100=simplificam cu 5=49/20
rezolvare
-19/63+(-1,7+1intreg1/35:1intreg13/14):[-7,4(6)+2,45:21/55]=
-19/63+(-17/10+36/35:27/14):(-112/15+49/20:21/55)=
-19/63+(-17/10+36/35x14/27):(-112/15+49/20x55/21)=simplificam in prima si II paranteza ce se poate
-19/63+(-17/10+4/5x2/3):(-112/15+7/4x11/3)=
-19/63+(-17/10+8/15):(-112/15+77/12)=
-19/63+[(-17x3+8x2)/30]:[(-112x4+77x5)/60]=
-19/63+[(-51+16)/30]:[(-448+385)/60]=
-19/63+(-35/30):(-63/60)=
-19/63+(-35/30)x(-60/63)=simplificam
-19/63+5/1x2/9=
-19/63+10/9=
(-19+10x7)/63=
(-19+70)/63=-51/63simplif.cu 3=-17/21

b) 0,(2)=2/9
0,(5)=5/9
0,(3)=3/9=simplif.cu 3=1/3
0,(296)=296/999
0,41(6)=(416-41)/900=375/900=simplif cu 75=5/12
0,291(6)=(2916-291)/9000=2625/9000=simplif=7/24
rezolvare
[-0,(2)-0,(5)-0,(3)]+[-0,(296)]x[0,41(6)+1/3-0,291(6)]=
(-2/9-5/9-1/3)+296/999x(5/12+1/3-7/24)=
(-7/9-1/3)+296/999x[(2x5+1x8-7)/24]=
[(-7-1x3)/9]+296/999x[(10+8-7)/24]=
-10/9+296/999x11/24= simplif
-10/9+37/999x11/3=
-10/9+1221/2997=
(-10x333+1221)/2997=
(-3330+1221)/2997=2109/2997=703/999=0,7(037)

c)  0,75=75/100=simplif=3/4
0,25=25/100=simplif=1/4
0,1(6)=(16-1)/90=15/90=simplif=1/6
1intreg5/12=(1x12+5)/12=17/12
0,0(4)=4/90=simplif=2/45
rezolvare
[(-0,75):(0,25)]²x[0,1(6)-1si5/12]x[0,0(4)]=
(3/4:1/4)²x(1/6-17/12)x2/45=
(3/4x4/1)²x[(2-17)/12]x2/45=
3²x(-15/12)x2/45=smplif=
9x(-1/6)x1/3=-1/2=-0,5