nhanh len nhe

1/2;1/3;1/5;1/10;1/15;1/30

ta thấy 6 chia hết cho:6;3:2:1

5/6=2/6+3/6=1/3+1/2

chúc bạn học giỏi

\(\frac{5}{6}=\frac{1}{6}+\frac{2}{3};\frac{5}{6}=\frac{2}{6}+\frac{1}{2}\)

Ta có :

\(\frac{5}{6}=\frac{1}{2}+\frac{1}{3}\)

đó là : 1/4+1/6+1/12

1/36 + 1/16 + 1/8 + 1/4 + 1/2 = 31/32 

Tổng đó là: \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{31.32}\)

31/32 = 1/32 + 30/32

= 1/32 + 15/16

= 1/32 + 7/16 + 8/16

= 1/32 + 7/16 + 1/2

= 1/32 + 1/2 + 5/16 + 2/16

= 1/32 + 1/2 + 5/16 + 1/8

= 1/32 + 1/2 + 1/8 + 1/16 + 4/16

= 1/32 + 1/2 + 1/8 + 1/16 + 1/4

\(\frac{13}{35}=\frac{7}{35}+\frac{5}{35}+\frac{1}{35}=\frac{1}{5}+\frac{1}{7}+\frac{1}{35}\)
\(\frac{11}{16}=\frac{8}{16}+\frac{2}{16}+\frac{1}{16}=\frac{1}{2}+\frac{1}{8}+\frac{1}{16}\)
\(\frac{7}{18}=\frac{6}{18}+\frac{1}{18}=\frac{1}{3}+\frac{1}{18}\)
\(\frac{15}{24}=\frac{12}{24}+\frac{3}{24}=\frac{1}{2}+\frac{1}{8}\)