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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
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
\(\frac{31}{32}=\frac{1}{32}+\frac{30}{32}=\frac{1}{32}+\frac{15}{16}=\frac{1}{32}+\frac{1}{16}+\frac{14}{16}\)
\(\Rightarrow\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{7}{8}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{6}{8}\)
\(\Rightarrow\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{3}{4}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{2}{4}\)
\(=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)
Vậy :\(\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)
\(\frac{31}{32}=\frac{16+8+4+2+1}{32}=\frac{16}{32}+\frac{8}{32}+\frac{4}{32}+\frac{2}{32}+\frac{1}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(\frac{31}{32}\)= \(\frac{1+2+4+8+16}{32}\)= \(\frac{1}{32}\)+ \(\frac{2}{32}\)+ \(\frac{4}{32}\)+ \(\frac{8}{32}\)+ \(\frac{16}{32}\)= \(\frac{1}{32}\)+ \(\frac{1}{16}\)+ \(\frac{1}{8}\)+ \(\frac{1}{4}\)+ \(\frac{1}{2}\)
Vậy \(\frac{31}{32}\)= \(\frac{1}{32}\)+ \(\frac{1}{16}\)+ \(\frac{1}{8}\)+ \(\frac{1}{4}\)+ \(\frac{1}{2}\)
\(\frac{31}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(a,\frac{31}{32}=\frac{1}{2}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{4}\)
\(b,\frac{25}{27}=\frac{1}{2}+\frac{1}{3}+\frac{1}{18}+\frac{1}{27}\)
a) \(\frac{31}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
b) \(\frac{25}{27}=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{24}+\frac{1}{48}+\frac{1}{96}+\frac{1}{192}+\frac{1}{384}+\frac{1}{1152}+\frac{1}{3756}+...\)
Bài 2:
\(\frac{13}{36}=\frac{1+5+7}{36}=\frac{1}{36}+\frac{5}{36}+\frac{7}{36}\)
\(\frac{31}{60}=\frac{1+23+7}{60}=\frac{1}{60}+\frac{23}{60}+\frac{7}{60}\)
Bài 1:
\(\frac{25}{27}=\frac{1+3+9+3+9}{27}=\frac{1}{27}+\frac19+\frac13+\frac19+\frac13\)
\(\frac{15}{16}=\frac{8+7}{16}=\frac12+\frac{7}{16}=\frac12+\frac{4+3}{16}=\frac12+\frac14+\frac{3}{16}\)
\(=\frac12+\frac14+\frac{2+1}{16}=\frac12+\frac14+\frac18+\frac{1}{16}\)
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