\(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\frac{1}{48}+\frac{1}{96}\)

\(=\frac{1}{2}+\frac{1}{8}+\frac{1}{32}\)

\(=\frac{5}{8}+\frac{1}{32}\)

\(=\frac{21}{32}\)

21/32

3/4 nha bạn đúng thì k mk nha

c=21/32

\(=2\left(\frac{1}{3}+\frac{1}{6}+...+\frac{1}{192}\right)\)

\(=2\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+...+\frac{1}{96}-\frac{1}{192}\right)\)

\(=2\left(1-\frac{1}{192}\right)\)

\(=2\times\frac{191}{192}\)

\(=\frac{191}{96}\)

21/32

21/32

Giải

\(\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\frac{1}{48}+\)\(\frac{1}{96}\)

\(=\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{12}\)\(+\frac{1}{12}-\frac{1}{24}+\frac{1}{24}-\frac{1}{48}\)\(+\frac{1}{48}-\frac{1}{96}\)

\(=\frac{1}{3}-\frac{1}{96}\)

\(=\frac{31}{96}\)

1/6 + 1/12 + 1/24 + 1/48 + 1/96

= 1/3 - 1/6 + 1/6 - 1/12 + 1/12 - 1/24 + 1/24 - 1/48 + 1/48 - 1/96

= 1/3 - 1/96

= 31/96

Trả lời: 

    1/6 + 1/12 + 1/24 + 1/48 + 1/96 

= 1/3 - 1/6 + 1/6 - 1/12 + 1/12 - 1/24+ 1/24 -  1/48  + 1/48 - 1/96 
= 1/3 - 1/96  

= 31/96 

#hien#
 

a)

`6/9=2/3`

`6/24=1/4`

`48/96=1/2`

`42/98=3/7`

b)

`24/36=2/3`

`18/30=3/5`

`15/120=1/8`

`80/240=1/3`

a)\(\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\)
\(\dfrac{6}{24}=\dfrac{6:6}{24:6}=\dfrac{1}{4}\)
\(\dfrac{48}{96}=\dfrac{48:48}{96:48}=\dfrac{1}{2}\)
\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)
b)\(\dfrac{24}{36}=\dfrac{24:12}{36:12}=\dfrac{2}{3}\)
\(\dfrac{18}{30}=\dfrac{18:6}{30:6}=\dfrac{3}{5}\)
\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)
\(\dfrac{80}{240}=\dfrac{80:80}{240:80}=\dfrac{1}{3}\)

\(a,\dfrac{6}{9}=\dfrac{2}{3};\dfrac{6}{24}=\dfrac{1}{4};\dfrac{48}{96}=\dfrac{1}{2};\dfrac{42}{98}=\dfrac{3}{7}\\ b,\dfrac{24}{36}=\dfrac{2}{3};\dfrac{18}{30}=\dfrac{3}{5};\dfrac{15}{120}=\dfrac{1}{8};\dfrac{80}{240}=\dfrac{1}{3}\)

21/32

\(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\frac{1}{48}+\frac{1}{96}\)

\(=\left(\frac{1}{3}+\frac{1}{6}\right)+\left(\frac{1}{12}+\frac{1}{24}\right)+\left(\frac{1}{48}+\frac{1}{96}\right)\)

\(=\frac{1}{2}+\frac{1}{8}+\frac{1}{32}\)

\(=\frac{21}{32}\)

Đáp án là :\(\frac{21}{32}\)

1/3 +1/6+1/12+1/24 +1/48 + 1/96

= 1/3 + 1/3 – 1/6 + 1/6 – 1/12+1/12 – 1/24 +1/24 – 1/48+1/48 -1/96

=2/3 – 1/96

= 21/32

là 21/32 nha

nhớ k cho mình nhé

21/32