Răspuns :
a) 5,(1) = 5 intregi 1/9 = ( 5·9 + 1) / 9 = 46 / 9
b) 0,7(3) = ( 73 - 7) / 90 = 66/ 90 = 22 / 30 = 11/ 15
c) 0,( 15) = 15/ 99 = 5/ 33
d) 0, 72 = 72/ 100 = 36/ 50 = 18/ 25
e) 0,( 027) = 27/ 999 = 3/ 111
f) 65,65(65) = ( 656565 - 6565) / 9900 = 650000 / 9900 = 6500 / 99
g) 2,01(351) = ( 201351 - 201) /99900 = 201150 / 99900 = 20115 / 9990 =
= 4023 / 1998 = 1341 / 666 = 447 / 222 = 149 / 74
b) 0,7(3) = ( 73 - 7) / 90 = 66/ 90 = 22 / 30 = 11/ 15
c) 0,( 15) = 15/ 99 = 5/ 33
d) 0, 72 = 72/ 100 = 36/ 50 = 18/ 25
e) 0,( 027) = 27/ 999 = 3/ 111
f) 65,65(65) = ( 656565 - 6565) / 9900 = 650000 / 9900 = 6500 / 99
g) 2,01(351) = ( 201351 - 201) /99900 = 201150 / 99900 = 20115 / 9990 =
= 4023 / 1998 = 1341 / 666 = 447 / 222 = 149 / 74
a) 5,(1) = 5 [tex] \frac{1}{9} [/tex] = [tex] \frac{46}{9} [/tex]
b) 0,7(3) = [tex] \frac{73 - 7}{90} [/tex] = [tex] \frac{66}{90} [/tex] = [tex] \frac{11}{15} [/tex]
c) 0,(15) = [tex] \frac{15}{99} [/tex] = [tex] \frac{5}{33} [/tex]
d) 0,72 = [tex] \frac{72}{100} [/tex] = [tex] \frac{18}{25} [/tex]
e) 0,(027) = [tex] \frac{27}{999} [/tex]= [tex] \frac{3}{111} [/tex]
f) 65,65(65) = 65 [tex] \frac{6565 - 65}{9900} [/tex] = 65 [tex] \frac{6500}{9900} [/tex] = 65 [tex] \frac{65}{99} [/tex] = [tex] \frac{6500}{99} [/tex]
sau:
65,65(65) = [tex] \frac{656565 - 6565}{9900} [/tex] = [tex] \frac{650000}{9900} [/tex] = [tex] \frac{6500}{99} [/tex]
g) 2,01(351) = 2 [tex] \frac{1351 - 1}{99900} [/tex] = 2 [tex] \frac{1350}{99900} [/tex] = [tex] \frac{201150}{99900} [/tex] = [tex] \frac{4023}{1998} [/tex] = [tex] \frac{149}{74} [/tex]
b) 0,7(3) = [tex] \frac{73 - 7}{90} [/tex] = [tex] \frac{66}{90} [/tex] = [tex] \frac{11}{15} [/tex]
c) 0,(15) = [tex] \frac{15}{99} [/tex] = [tex] \frac{5}{33} [/tex]
d) 0,72 = [tex] \frac{72}{100} [/tex] = [tex] \frac{18}{25} [/tex]
e) 0,(027) = [tex] \frac{27}{999} [/tex]= [tex] \frac{3}{111} [/tex]
f) 65,65(65) = 65 [tex] \frac{6565 - 65}{9900} [/tex] = 65 [tex] \frac{6500}{9900} [/tex] = 65 [tex] \frac{65}{99} [/tex] = [tex] \frac{6500}{99} [/tex]
sau:
65,65(65) = [tex] \frac{656565 - 6565}{9900} [/tex] = [tex] \frac{650000}{9900} [/tex] = [tex] \frac{6500}{99} [/tex]
g) 2,01(351) = 2 [tex] \frac{1351 - 1}{99900} [/tex] = 2 [tex] \frac{1350}{99900} [/tex] = [tex] \frac{201150}{99900} [/tex] = [tex] \frac{4023}{1998} [/tex] = [tex] \frac{149}{74} [/tex]