Question

1)Scrieti sub forma fractionala : 0,91(6) ; 1,8(6) ; 5,02(7) ; 0,4(9) ; 0,41(16) ; 0,11(36); 1,0025 ; 0,008 . 2)Scrieti sub forma de fractie zecimala : (ps :\ sub ) 6\15 ; 28\15 ; 64\25 ; 17\6 ; 35\18 .

Answer 1

$\displaystyle 0,91(6)= \frac{916-91}{900} = \frac{825}{900} = \frac{11}{12} \\ \\ 1,8(6)= \frac{186-18}{90} = \frac{168}{90} = \frac{28}{15} \\ \\ 5,02(7)= \frac{5027-502}{900} = \frac{4525}{900} = \frac{181}{36} \\ \\ 0,4(9)= \frac{49-4}{90} = \frac{45}{90} = \frac{1}{2} \\ \\ 0,41(16)= \frac{4116-41}{9900} = \frac{4075}{9900} = \frac{163}{396} \\ \\ 0,11(36)= \frac{1136-11}{9900} = \frac{1125}{9900} = \frac{5}{44}$

$\displaystyle 1,0025= \frac{10025}{10000} = \frac{401}{400} \\ \\ 0,008= \frac{8}{1000} = \frac{1}{125}$

$\displaystyle \frac{6}{15} =0,4 \\ \\ \frac{28}{15} =1,8(6) \\ \\ \frac{64}{25} =2,56 \\ \\ \frac{17}{6} =2,8(3) \\ \\ \frac{35}{18} =1,9(4)$