Question

1)Transformati in fractii ordinale ireductibile:
a)0,(3)
b)1,(6)
c)0,(12)
d)0,(15)
e)1,(2)
f)1,(51)
g)0,(27)
h)2,(12)
i)0,(123)
j)1,(451
k)21,(321)
l)15,(105)

2)Comparati a si b:

a) a=1,3;b=1,(3);
b) a=2,(13); b=2,13;
c) a=0,(5);b=0,(7);
d) a=1,(23);b=1,(2)
e) a=1,(23);b=1,(3)
f) a=0,1(2);b=0,(12).

Answer 1

a)0,(3) =3/9=1/3
b)1,(6) =(16-1)/9=15/9=5/3
c)0,(12)=12/99=4/33
d)0,(15) =15/99=5/33
e)1,(2)=(12-1)/9=11/9
f)1,(51)=(151-1)/99=150/99=50/33
g)0,(27)=27/99=3/11
h)2,(12) =(212-2)/99=210/99=70/33
i)0,(123)=123/999=41/33
j)1,(451=(1451-1)/999=1450/999
k)21,(321)=(21321-21)/999=21300/999=7100/333
l)15,(105)=(15105-15)/999=15090/999=5030/333

2)Comparati a si b:

a) a=1,3;b=1,(3);   b>a
b) a=2,(13); b=2,13;   a>b
c) a=0,(5);b=0,(7);      b>a
d) a=1,(23);b=1,(2)     a>b 
e) a=1,(23);b=1,(3)     b>a
f) a=0,1(2);b=0,(12).   a>b