Question

Encontre a fraçao geratriz das dizimas periodicas simples a seguir: a)-2,4444 b)0,11111 c)17,8888 d)-6,353535 e)0,292929 f)2,102102102

Answer 1

a)

-2,4444.......... = =[ ( -24- ( -2)] /9 = ( -24 + 2)/9 = -22/9 >>>>

b)

0,11111...... = 1/9 >>>>

c)

17,8888 ........ = ( 178 - 17)/9 = 161/9 >>>>

d)

-6,35 35 35 ...... [ -635 - ( -6)]/99 ou [ -635 + 6 ]/99 = - 629/99 >>>>

e)

0,29 29 29......... 29/99 >>>>

f)

2,102 102 102..... ( 2102 - 2 )/999 = 2100/999>>>>