Question

sa se scrie ca numar zecimal
3pe4,4pe15,3pe5,1pe8,2pe25,1pe125,1pe6,1pe9

sa se scrie sub forma de fractie
0,(13) 2,(5) 1,(2) 0,(23) 1,2(7) 0,2(73)

Answer 1

$\displaystyle \frac{3}{4} =0,75 \\ \\ \frac{4}{15} =0,2(6) \\ \\ \frac{3}{5} =0,6 \\ \\ \frac{1}{8} =0,125 \\ \\ \frac{2}{25} =0,08 \\ \\ \frac{1}{125} =0,008 \\ \\ \frac{1}{6} =0,1(6) \\ \\ \frac{1}{9} =0,(1)$

$\displaystyle 0,(13)= \frac{13}{99} \\ \\ 2,(5)= \frac{25-2}{9} = \frac{23}{9} \\ \\ 1,(2)= \frac{12-1}{9} = \frac{11}{9} \\ \\ 0,(23)= \frac{23}{99} \\ \\ 1,2(7)= \frac{127-12}{90} = \frac{115}{90} \\ \\ 0,2(73)= \frac{273-2}{990} = \frac{271}{990}$