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a/ 25/27= 1/3+1/9+1/27+1/135+1/5+1/45+1/90+1/10+1/180+1/2+1/36+1/4+1/12
b/ 15/16=1/2 + 1/8 + 1/16 + 1/4
\(\dfrac{11}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{10}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{2+8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{2}{2\times8}\) + \(\dfrac{8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{1}{8}\)+ \(\dfrac{1}{2}\)
\(\dfrac{5}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{3\times4}\) = \(\dfrac{1}{12}\) + \(\dfrac{1}{3}\)
31/32 = 1/32 + 30/32 = 1/32+15/16 = 1/32 +1/16+14/16 =>
31/32 = 1/32+1/16+7/8 = 1/32+1/16 +1/8+6/8 =>
31/32=1/32+1/16 +1/8+3/4 = 1/32+1/16+1/8+1/4+2/4 = 1/32+1/16+1/8+1/4+1/2
Vậy 31/32 = 1/32+1/16+1/8+1/4+1/2
\(a,\frac{31}{32}=\frac{1}{2}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{4}\)
\(b,\frac{25}{27}=\frac{1}{2}+\frac{1}{3}+\frac{1}{18}+\frac{1}{27}\)
a) \(\frac{31}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
b) \(\frac{25}{27}=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{24}+\frac{1}{48}+\frac{1}{96}+\frac{1}{192}+\frac{1}{384}+\frac{1}{1152}+\frac{1}{3756}+...\)