Question

scrieti sub forma de fractie numarul zecimal
0,(18); 3,(2); 6,1(8); ​

Answer 1

0,(18) = 18/99
3,(2) = 3 intreg si 2/9
6,1(8) = 6 intreg si 18-1/90 = 6 intreg 17/90

Answer 2

0,(18);

x=0,(18)

100x=18,(18)

99x=18

x=18/99=2/11

3,(2)=3+0,(2);

x=0,(2)

10x=2,(2)

9x=2

x=2/9

3,(2)=3+x=3+2/9=27/9+2/9=29/9

6,1(8)=6+0,1+0,0(8);

x=0,0(8)

10x=0,(8)

100x=8,(8)

90x=8

x=8/90=4/45

6,1(8)=6+1/10+x=60/10+1/10+4/45=61/10+4/45=549/90+8/90=557/90