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Mình ko rảnh nên ko làm nhé.
\(\frac{15}{16}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)
\(\frac{31}{32}\)= \(\frac{1+2+4+8+16}{32}\)= \(\frac{1}{32}\)+ \(\frac{2}{32}\)+ \(\frac{4}{32}\)+ \(\frac{8}{32}\)+ \(\frac{16}{32}\)= \(\frac{1}{32}\)+ \(\frac{1}{16}\)+ \(\frac{1}{8}\)+ \(\frac{1}{4}\)+ \(\frac{1}{2}\)
Vậy \(\frac{31}{32}\)= \(\frac{1}{32}\)+ \(\frac{1}{16}\)+ \(\frac{1}{8}\)+ \(\frac{1}{4}\)+ \(\frac{1}{2}\)
\(\frac{31}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(\frac{31}{32}=\frac{1}{32}+\frac{30}{32}=\frac{1}{32}+\frac{15}{16}=\frac{1}{32}+\frac{1}{16}+\frac{14}{16}\)
\(\Rightarrow\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{7}{8}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{6}{8}\)
\(\Rightarrow\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{3}{4}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{2}{4}\)
\(=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)
Vậy :\(\frac{31}{32}=\frac{1}{32}+\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)
\(\frac{31}{32}=\frac{16+8+4+2+1}{32}=\frac{16}{32}+\frac{8}{32}+\frac{4}{32}+\frac{2}{32}+\frac{1}{32}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
5/6 = 10/12
mà ta có 6/12 + 4/12 = 10/12
rút gọn đc 1/2 + 1/3 = 5/6
\(\frac{7}{8}=\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)
Đó là đáp án
chúc học giỏi
Phân tích:
15/16= 1/16+ 2/16 + 4/16 + 8/16= 1/16+1/8+1/4+1/2
Vậy: 15/16= 1/16+1/8+1/4+1/2
vì 16 chia hết cho 1, 2,4,8 nên ta có thể phs như sau:
\(\frac{15}{16}=\frac{1+2+4+8}{16}=\frac{1}{16}+\frac{2}{16}+\frac{4}{16}+\frac{8}{16}=\frac{1}{16}+\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)\( +\frac{1}{2}\)