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\(\dfrac{1}{2}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}+\dfrac{41}{42}+\dfrac{55}{56}+\dfrac{71}{72}+\dfrac{89}{90}=1-\dfrac{1}{2}+1-\dfrac{1}{6}+1-\dfrac{1}{12}+....+1-\dfrac{1}{90}=1+1+...+1-\left(\dfrac{1}{2}+\dfrac{1}{6}+...+\dfrac{1}{90}\right)=9-\left(\dfrac{1}{1x2}+\dfrac{1}{2x3}+...+\dfrac{1}{9x10}\right)=9-\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+....+\dfrac{1}{9}-\dfrac{1}{10}\right)=9-\left(1-\dfrac{1}{10}\right)=9-\dfrac{9}{10}=\dfrac{81}{10}\)
\(\frac{6}{9}=\frac{6:3}{9:3}=\frac{2}{3}\)
\(\frac{18}{48}=\frac{18:6}{48:6}=\frac{3}{8}\)
\(\frac{72}{84}=\frac{72:12}{84:12}=\frac{6}{7}\)
\(\frac{60}{120}=\frac{60:60}{120:60}=\frac{1}{2}\)
\(\frac{6}{9}=\frac{6\div3}{9\div3}=\frac{2}{3}\)
\(\frac{18}{48}=\frac{18\div6}{48\div6}=\frac{3}{8}\)
\(\frac{72}{84}=\frac{72\div12}{84\div12}=\frac{6}{7}\)
\(\frac{60}{120}=\frac{60\div60}{120\div60}=\frac{1}{2}\)
\(\frac{6}{9}=\frac{6:3}{9:3}=\frac{2}{3}\)
\(\frac{18}{48}=\frac{18:2}{48:2}=\frac{9}{24}\)
\(\frac{72}{84}=\frac{72:12}{84:12}=\frac{6}{7}\)
\(\frac{1212}{3939}=\frac{1212:101}{3939:101}=\frac{12}{39}\)
TL
\(\frac{6}{9}=\frac{2}{3}\)
\(\frac{18}{48}=\frac{3}{8}\)
\(\frac{72}{84}=\frac{6}{7}\)
\(\frac{1212}{3939}=\frac{4}{13}\)
nha bn\
HT
\(\Rightarrow\)
\(\text{Ta có :}\)
\(\frac{35\cdot48\cdot47}{25\cdot54\cdot72}=\frac{7\cdot5\cdot6\cdot8\cdot47}{5\cdot5\cdot9\cdot6\cdot8\cdot7}=\frac{47}{5\cdot9}=\frac{47}{45}\)
\(\text{Chúc bạn học tốt !}\)
a)\(8-\frac{3}{5}=\frac{40}{5}-\frac{3}{5}=\frac{37}{5}\)
b)\(\frac{24}{15}\times\frac{56}{72}\times\frac{10}{14}=\frac{13440}{15120}=\frac{8}{9}\)
c)\(\frac{32}{48}\times\frac{35}{21}\times\frac{63}{14}\times\frac{9}{30}=\frac{2}{3}\times\frac{5}{3}\times\frac{9}{2}\times\frac{3}{10}=\frac{270}{180}=\frac{3}{2}\)
d)\(7-\frac{72}{48}\times\frac{56}{60}-3=7-\frac{3}{2}\times\frac{14}{15}-3\)
\(=7-\frac{7}{5}-3\)
\(=\frac{35}{5}-\frac{7}{5}-\frac{15}{5}\)
\(=\frac{13}{5}\)
#H
(Sai thì sửa)
\(\dfrac{5}{15}=\dfrac{5:5}{15:5}=\dfrac{1}{3}\\ \dfrac{28}{56}=\dfrac{28:28}{56:28}=\dfrac{1}{2}\\ \dfrac{48}{96}=\dfrac{48:48}{96:48}=\dfrac{1}{2}\\ \dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\\ \dfrac{60}{80}=\dfrac{60:20}{80:20}=\dfrac{3}{4}\)
45 phần 28
48/56 + 72/96
=6/7 + 3/4
=24/28 + 21/28
=45/28.