Vreau rezolvarea completa la ex:7,DAU COROANA,URGENT!!!
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a) 36[1+(1/54+5/72+1/108):(1-1/9)]=
36(1+4+15+2/216:9-1/9)=
36(1+21/216:8/9)=
36(1+21/216*9/8)=
36(1+21/24*1/8)= (simplifici 216 cu 9)
36(1+7/8*1/8)=(simplifici 21 cu 24)
36(1+7/64)=
36*64+7/64=
36*71/64=
9*71/16=
639/16
b) [(5/8-3/10):13/4+(1-13/63)]:50/39=
(25-12/40*4/13+63-13/63)*39/50=
(13/40*4/13+50/63)*39/50=
(1/10+50/63)*39/50=
63+500/630*39/50=
563/630*39/50=(simplifici 630 cu 39)
563/210*13/50=
7319/10500
c) [4*2/3:(5/18-2/9)]:[1*3/7+1/14):3/7]=
(4*2/3:5-4/18):[3/7+1/14)*7/3]=
(4*2/3:1/18):(7/14*7/3)=
(4*2*6):(1/2*7/3)=(simplifici 3 cu 18)
48:7/6=
48*6/7=
288/7
d) {8/35+[(3/2-33/35)+(3/14-2/35)-(2-12/7+5/14)]}=
8/35+(105-66/70+15-14/70-28-24+5/14)=
8/35+(39/70+11/70-9/14)=
8/35+39+11-45/70=
8/35+5/70=
8/35+1/14=
16+5/70=
21/70=
3/10
e) [(1/2+2/3+5/6):7/12-6*1/18)*1/4:(5*12/25-1*1/3)=
(3+4+5/6*12/7-1/3)*1/4:(12/5-1/3)=
(12/6*12/7-1/3)*1/4:36-5/15=
(2*12/7-1/3)*1/4:31/15=
(24/7-1/3)*1/4*15/31=
72-7/21*1/4*15/31=
65/21*1/4*15/31=(simplifici 15 cu 21)
65/7*1/4*5/31=
325/868
36(1+4+15+2/216:9-1/9)=
36(1+21/216:8/9)=
36(1+21/216*9/8)=
36(1+21/24*1/8)= (simplifici 216 cu 9)
36(1+7/8*1/8)=(simplifici 21 cu 24)
36(1+7/64)=
36*64+7/64=
36*71/64=
9*71/16=
639/16
b) [(5/8-3/10):13/4+(1-13/63)]:50/39=
(25-12/40*4/13+63-13/63)*39/50=
(13/40*4/13+50/63)*39/50=
(1/10+50/63)*39/50=
63+500/630*39/50=
563/630*39/50=(simplifici 630 cu 39)
563/210*13/50=
7319/10500
c) [4*2/3:(5/18-2/9)]:[1*3/7+1/14):3/7]=
(4*2/3:5-4/18):[3/7+1/14)*7/3]=
(4*2/3:1/18):(7/14*7/3)=
(4*2*6):(1/2*7/3)=(simplifici 3 cu 18)
48:7/6=
48*6/7=
288/7
d) {8/35+[(3/2-33/35)+(3/14-2/35)-(2-12/7+5/14)]}=
8/35+(105-66/70+15-14/70-28-24+5/14)=
8/35+(39/70+11/70-9/14)=
8/35+39+11-45/70=
8/35+5/70=
8/35+1/14=
16+5/70=
21/70=
3/10
e) [(1/2+2/3+5/6):7/12-6*1/18)*1/4:(5*12/25-1*1/3)=
(3+4+5/6*12/7-1/3)*1/4:(12/5-1/3)=
(12/6*12/7-1/3)*1/4:36-5/15=
(2*12/7-1/3)*1/4:31/15=
(24/7-1/3)*1/4*15/31=
72-7/21*1/4*15/31=
65/21*1/4*15/31=(simplifici 15 cu 21)
65/7*1/4*5/31=
325/868
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