Question

Scrieți sub forma de fracție ordinara:
a) 14,5; 2,74; 1,75; 11,008; 2,0003;
b) 1,(3); 5,(6); 7,(3); 0,(23); 1,(40); 12,(021); 0,(235);
c) 3,2(4); 5,3(4); 2,2(6); 4,7(02); 3,0(13); 1,2(14);
d) 0,1(124); 3,2(145); 2,0(173); 3,04(3); 4,05(24).
Dau coroana
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Answer 1

a) 14,5=145/10=29/2
    2,74=274/100=137/50
    1,75=175/100 =7/4
    11,008=11008/1000=1376/125
    2,0003=20003/10000

b) 1,(3)=(13-1)/9=12/9=4/3
     5,(6)=(56-5)/9=51/6
     7,(3)=(73-7)/9=66/9=22/3
     0,(23)=23/99
     1,(40)=(140-1)/99=139/99
     12,(021)=(12021-12)/999=12009/999=4003/333
     0,(235)=235/999

c) 3,2(4)=(324-32)/90=146/45
   5,3(4)=(534-53)/90=481/90
   2,2(6)=(226-22)/90=204/90=34/15
   4,7(02)=(4702-47)/990=4655/990=931/198
   3,0(13)=(3013-30)/990=2983/990
   1,2(14)=(1214-12)/990=1202/990=601/495

d) 0,1(124)=(1124-1)/9990=1123/9990
    3,2(145)=(32145-32)/9990=32113/9990
    2,0(173)=(20173-20)/9990=20153/9990
    3,04(3)=(3043-304)/900=2739/900=913/300
    4,05(24)=(40524-405)/9900=40119/9900=13373/3300