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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
\(\dfrac{7}{-25}+\dfrac{18}{25}+\dfrac{4}{23}+\dfrac{5}{7}+\dfrac{19}{23}\)
=\(\left(\dfrac{-7}{25}+\dfrac{18}{25}\right)+\left(\dfrac{4}{23}+\dfrac{19}{23}\right)+\dfrac{5}{7}\)
= \(\dfrac{11}{25} +1+\dfrac{5}{7}\)
= \(1\dfrac{11}{25}+\dfrac{5}{7}\)
= \(2\dfrac{27}{175}\)
b) \(-2+\dfrac{15}{19}+\dfrac{-15}{17}+\dfrac{15}{23}+\dfrac{4}{19}\)
=\(-2+\left(\dfrac{ }{ }\right)\)
\(\frac{x+22}{11}+\frac{x+23}{12}=\frac{x+24}{13}+\frac{x+25}{14}\)
\(\Leftrightarrow\left(\frac{x+22}{11}+1\right)+\left(\frac{x+23}{12}+1\right)=\left(\frac{x+24}{13}+1\right)+\left(\frac{x+25}{14}+1\right)\)
\(\Leftrightarrow\frac{x+33}{11}+\frac{x+35}{12}=\frac{x+37}{13}+\frac{x+39}{14}\)
\(\Leftrightarrow\frac{x+33}{11}+\frac{x+35}{12}-\frac{x+37}{13}-\frac{x+39}{14}=0\)
\(\Leftrightarrow\frac{2184\cdot\left(x+33\right)+2002\cdot\left(x+35\right)-1848\cdot\left(x+37\right)-1716\cdot\left(x+39\right)}{24024}=0\)
\(\Leftrightarrow2184x+72072+2002x+70070-1848x-68376-1716x-66924=0\)
\(\Leftrightarrow622x+6842=0\)
\(\Leftrightarrow x=-11\)
a:2/11-2/15+2/15-2/19+2/19-2/23.....+2/51-2/55
a : 2/11-2/55
a:8/55
Đúng thì k hộ mik nha
a=2/4(4/11x15+4/15x19+4/19x23+..........+4/51x55
a=2/4(1/11-1/15+1/15-1/19+1/19-1/23+........+1/51-1/55)
a=2/4(1/11-1/55)
a=2/4x4/55
a=2/55
1.
a) \(-\frac{15}{17}>-\frac{19}{21}\)
b)\(-\frac{13}{19}>-\frac{19}{23}\)
c)\(-\frac{23}{49}>-\frac{25}{47}\)
d)\(\frac{317}{633}>\frac{371}{743}\)
e)\(-\frac{24}{35}< -\frac{19}{30}\)
f)\(\frac{12}{17}< \frac{13}{18}\)
g) \(-\frac{17}{26}< -\frac{16}{27}\)
h) \(\frac{84}{-83}< -\frac{337}{331}\)
i) \(-\frac{1941}{1931}< -\frac{2011}{2001}\)
j) \(-\frac{1930}{1945}>-\frac{1996}{2001}\)
k) \(\frac{37}{59}< \frac{47}{59}\)
I) \(-\frac{25}{124}>-\frac{27}{100}\)
m) \(-\frac{97}{201}>-\frac{194}{309}\)
n) \(-\frac{189}{398}< -\frac{187}{394}\)
o) \(-\frac{289}{403}>-\frac{298}{401}\)