Question

Scrie sub forma de fractie numerele:
a) 0,(16); -3,14; 0,(8); 5,(7); 0,3(5); 8,21(6); -4,97(35);
b) -0,72; 5,36 -0,(42); -3(18); 0,5(3); 12,3(45); -7,6(543).
Mersi

Answer 1

a) 0,(16) = 16/99

-3,14 = -314/100 = -(314:2)/(100:2) = -157/50

0,(8) = 8/9

5,(7) = (57-5)/9 = 52/9

0,3(5) = (35-3)/90 = 32/90 = (32:2)/(90:2) = 16/45

8,21(6) = (8216-821)/900 = 7395/900 = 493/60

-4,97(35) = - (49735-497)/9900 = -49238/9900 = -24619/4950

b) -0,72 = -72/100 = -18/25

5,36 = 536/100 = 134/25

-0,(42) = -42/99 = -14/33

-3,(18) = - (318-3)/99 = -315/99 = -35/11

0,5(3) = (53-5)/90 = 48/90 = 8/15

12,3(45) = (12345-123)/990 = 12222/990 = 679/55

-7,6(543) = - (76543-76)/9990 = - 76467/9990 = 25489/3330