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 :

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

\(\frac{7}{8}=\frac{1}{8}+\frac{6}{8}=\frac{1}{8}+\frac{2}{8}+\frac{4}{8}=\frac{1}{8}+\frac{1}{4}+\frac{1}{2}\)

\(\frac{11}{12}=\frac{1}{12}+\frac{10}{12}=\frac{1}{12}+\frac{4}{12}+\frac{6}{12}=\frac{1}{12}+\frac{1}{3}+\frac{1}{2}\)

\(\frac{14}{24}=\frac{7}{12}=\frac{1}{12}+\frac{6}{12}=\frac{1}{12}+\frac{4}{12}+\frac{2}{12}=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}\)

OK ban nhe

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

1/10 + 1/30 + 1/6 . k nha

ban kia lam dung roi do

k tui nha

thanks

1/10+1/30+1/6 = 9/30 rút gọn bằng 3/10