Question

22 de puncte !!!!!!!!!!!!


1. scrieti suma sub forma unei fractii zecimale :

a) 0,(2)+0,(6) b) 0,(27)+0,(12) c) 0,(4)+0,(31) d) 0,(123)+0,(321)

2. efectuati adunarile , utilizand fractii ordinare :

a) 5,4 + 1/2 b) 2,25+1/8+1,(2) c) 0,175+1/16 d) 11+3,(4)

3. asociati convenabil termenii sumei si efectuati :

a) 15/101 + 12/17 + 86/101 + 5/17 b) 11/10 + 7/30 + 2/17 + 11/51

Answer 1

1
a) 0.(2)=2/9
0.(6)=6/9  
2/9+6/9=8/9

b) 0.(27)=27/99
0.(12)=12/99
27/99+12/99=39/99 (Simplificam fractia cu 3 si obtinem 13/33

c) 0.(4)=4/9
0.(31)=31/99
4/9+31/99= (amplificam prima fractie cu 11)
44/99+31/99=75/99 (simplificam cu 3 si obtinem 23/33)

d) 0.(123)=123/999
0.(321)=321/999
123/999+321/999=444/999

2. a)5.4=54/10
Aducem la acelasi numitor amplificand a doua fractie (1/2) cu 5 (obtinem 5/10)
54/10+5/10=59/10 (5.9)

b) 2.25=225/100
1.(2)=un intreg si 2/9
        = 1*9+1/9
         =10/9
225/100 + 1/8 + 10/9= (simplificam prima fractie cu 25 si obtinem  9/4)
9/4+1/8+1/9= (Aducem la acelasi numitor si amplificam prima fractie cu 18, a doua cu 9 si a treia cu 8)
162+9+8/72=
179/72

c)0.175=175/1000 (simplificam cu 25 si obtinem 7/40)
7/40+1/16= (pentru a ajunge la acelasi numitor amplificam prima fractie cu 2 si a doua cu 5)
14+5/80= 19/80

d) 11=11/1
3.(4)= 3 intregi si 4/9
        = 3*9+4/9
        =31/9
11/1+31/9= 9amplificam prima fractie cu 9)
99+31/9= 130/9

3.  15/101+12/17+86/101+5/17
15/101+86/101=101/101
                         =1
12/17+5/17= 17/17
                  =1 
1+1=2

b) 11/10+7/30+2/17+11/51=
11/10+7/30 (amplificam prima fractie cu 3)
33+7/30= 40/30
              =4/3
2/17+11/51= (amplificam prima fractie cu 3)
6+11/51= 17/51
             =1/3
4/3+1/3=5/3
Sper ca te-am ajutat! Coronita?





            

Answer 2

a)0,(2)+0,(6)=0,(8)
b)0,(27)+0,(12)=0,(39)
c)0,(4)+0,(31)=0,(75)
d)0,(123)+0,(321)=0,(4)
2.
a)5,4+1/2=54/10+1/2=
=59/10
b)2,25+1/8+1,(2)=
225/100+1/8+11/9=
=9/4+1/8+11/9=
162/72+9/72+88/72=
=(162+9+88)/72=
=259/72
c)0,175+1/16=
=175/1000+1/16=
=7/40+1/16=
=14/80+5/80=
=(14+5)/80=19/20
d)11+3,(4)=
=11+34/10=72/5
3.
a)15/101+86/101+12/17+5/17=(255+1462+1212+505)/1717=3434/1717=2
b)11/10+11/51+2/17+7/30=(561+110+60+119)/510=850/510=5/3