Question

Transformati in fractie ordinara urmatoarele fractii zecimale:
a) 0,124; 5; -5,2; 3,0415; -16,0303; 12; 15,0; 36,450; -12,700;
b)2,(1); 0,(15); -0,(15); 17,(03); 9,(22); 4,(0); -1,(111); 0,4040404...;
c) 0,315415415...; 2,1(3); 0,2(10); -5,4(12); 10,35(1); -1,40(12); 1,1(123); 0,6(44); -2,55(55); 4,13(3); 4,1(3); -0,0(2); -0,01(023). 

Answer 1

a) 0,124;=124/1000;  5= 25/5;  -5,2= -52/10; 3,0415=30415/10000
-16,0303=-160303/10000:   12=144/12;  15,0=150/10;   36,450=3645/100 -12,700= -127/10

b)2,(1)=19/9;   0,(15)= 15/99 ; -0,(15) = -15/99;   17,(03)=1686/99; 
9,(22)= 913/99;  4,(0)= 36/9;   -1,(111)=1110/999;  0,4040404= 0,(40)=40/99

c) 0,315415415= 0,3(154)= 3151/9990
2,1(3)= 192/90;   0,2(10)=208/990;   -5,4(12)=5358/990; 10,35(1)=; -1,40(12); 1,1(123)=11112/9990;  0,6(44)=638/990;  -2,55(55)=25300/9900;
4,13(3)= 3720/900;  4,1(3)=372/900; -0,0(2)=2/9
 -0,01(023)= 1022/99900