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Đặt tổng A ta có :
\(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{35}+...+\frac{1}{4850}\)
\(\frac{3}{2}A=\frac{3}{4}+\frac{3}{28}+\frac{3}{70}+\frac{1}{130}+...+\frac{3}{9700}\)
\(\frac{3}{2}A=\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{97.100}\)
\(\frac{3}{2}A=1-\frac{1}{100}=\frac{99}{100}\)
\(\Rightarrow A=\frac{33}{50}\)

1.-14*63+(-14)*37=-14*(63+37)=-14*100=-1400
2.-21*21+21*(-79)=21*[-21+(-79)]=21*(-100)=-2100
cho mình nha!Thank you!

a: 7/9-2/3=1/9
b: 1/3-(-2/15)=7/15
c: -11/14-(-4/2)=-3/14
d: a/21=5/21+2/3=5/21+14/21=19/21
hay a=19

\(B=\frac{1}{12}+\frac{1}{13}+...+\frac{1}{22}\)có 11 số hạng
Ta có: \(\frac{1}{12}>\frac{1}{22}\)
\(\frac{1}{13}>\frac{1}{22}\)
.............
\(\frac{1}{22}=\frac{1}{22}\)
\(\Rightarrow B>\left(\frac{1}{22}+\frac{1}{22}+...+\frac{1}{22}\right)=\frac{11}{22}=\frac{1}{2}\)

a)[(\(\frac{36}{41}\): \(\frac{9}{41}\)) : (\(\frac{14}{21}\):\(\frac{7}{21}\)) x \(\frac{2}{5}\)]
=[ 4 : 2 x \(\frac{2}{5}\)]
=\(\frac{4}{5}\)
b) (\(\frac{1}{2}\)- \(\frac{1}{4}\)+\(\frac{1}{5}\)) : (\(\frac{1}{2}\)+ \(\frac{1}{4}\)'- \(\frac{1}{5}\))
=\(\frac{9}{20}\): \(\frac{11}{20}\)
=\(\frac{9}{11}\)
( Mình tính luôn cho nó nhanh phần cuối cùng nhá)
=\(\frac{4}{5}\): \(\frac{3}{5}\)
=\(\frac{4}{3}\)

a; \(\dfrac{9}{4}\) - \(\dfrac{-11}{4}\)
= \(\dfrac{9}{4}\) + \(\dfrac{11}{4}\)
= \(\dfrac{20}{4}\)
= 5
b; \(\dfrac{7}{8}\) - \(\dfrac{3}{-8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7}{8}\) + \(\dfrac{3}{8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7+3-1}{8}\)
= \(\dfrac{9}{8}\)
c; \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) - \(\dfrac{-1}{21}\)
= \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) + \(\dfrac{1}{21}\)
= \(\dfrac{-5-25+1}{21}\)
= \(\dfrac{-29}{21}\)

a: =1/8-1/8+2/5=2/5
b: =(-1/15-14/15)+(23/27+31/27)=2-1=1
c: \(=\dfrac{3}{7}\left(\dfrac{22}{21}+\dfrac{5}{21}+\dfrac{15}{21}\right)=\dfrac{3}{7}\cdot2=\dfrac{6}{7}\)
d: \(=\dfrac{-8}{9}\cdot\dfrac{3}{2}+\dfrac{1}{9}\cdot\dfrac{-3}{2}=-\dfrac{3}{2}\)