Question

2.Aflati cifra x din egalitatile:
A)0,x= 5/9; B) 3,4 (x)=311/90;c) 4,(x)=4 1/3;d)5,(x)=51/9;e)5,(x)=5 12/18
3. Folosind, eventual, amplificare, exprimați fracțiile prin numere zecimale periodice .
A)5/3;b)7/11;c)8/33;d)14/90;e)37/90;f)136/990;g)102/90;h)124/99;i)1346/999

Answer 1

A)
5:9=0,(5)
0
50
45
=50
X=5

B)
311:90=3,4(5)
270
=410
...360
...=500
......450
......=500
X=5

C)
4 1/3=(4x3+1)/3=13/3
13:3=4,(3)
12
=10
....9
....=10
X=3

D)
51:9=5,(6)
45
=60
..54
..=60
X=6

E)
5 12/18=(5x18+12)/18=102/18
102:18=5,(6)
. 90
=120
.. 108
..=120
X=6



3)a)
5:3=1,(6)
3
20
18
=20

B)
7:11=0,(63)
0
70
66
=40
..33
...=70
.....66

C)
8:33=0,(24)
0
80
66
140
132
==80

D)
14:90=0,1(5)
0
140
.90
=500
..450
..=500

E)
37:90=0,4(1)
0
370
360
=100
...90
..=100

F)
136:990=0,1(37)
0
1360
.990
=3700
.. 2970
....=7300
...... 6930
.......=3700

G)
102:90=1,1(3)
.90
=120
....90
...=300
.....270
.....=300

H)
124:99=1,(25)
.99
=250
.. 198
...=520
.....495
.....=250

I)
1346:999=1,(347)
.999
=3470
.. 2997
..=4730
.... 3996
.....=7340
.......6993
...... =3470