Question

Zamień ułamki okresowe na ułamki zwykłe.
a)
1,2(3)
b)
1,(04)
c)
3,0006
d)
1,00(12)

Answer 1

A)1,2(3) 
x = 1,2(3)
10x = 12,(3)
100x = 123,(3)
100x-10x = 123,(3)-12,(3) = 
90x=111
x=111/90

b)
x=1,0(4)
10x=10,(4)
100x=104(4)
100x-10x=104,(4)-10(4)
90x=94
x = 94/90
c)
x = 3,0006
1000x=3000,(6)
10000x=30000,(6)
10000x-1000x=30006,(6)-3000,(6)
9000x=27006
x=27006/9000

d)
x=1,00(12)
100x=100,12
10000x=10012,(12)
10000x-100x=10012,(12)=100,(12)
9900x=9912
x=9912/9900