(21)5×(41)2
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5.\(-\dfrac{3}{7}+\dfrac{5}{13}+\dfrac{-4}{12}=-\dfrac{103}{273}\)
b.\(-\dfrac{5}{21}+\dfrac{-2}{21}+\dfrac{8}{24}=\dfrac{-5-2}{21}+\dfrac{8}{24}=-\dfrac{7}{21}+\dfrac{8}{24}=-\dfrac{1}{3}+\dfrac{8}{24}=0\)
c.\(\dfrac{5}{13}+\dfrac{-5}{7}+\dfrac{-20}{41}+\dfrac{8}{13}+\dfrac{-21}{41}=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\left(\dfrac{-20}{41}+\dfrac{-21}{41}\right)+-\dfrac{5}{7}=1-1-\dfrac{5}{7}=-\dfrac{5}{7}\)

\(\dfrac{\dfrac{36}{41}:\dfrac{9}{41}}{\dfrac{14}{21}:\dfrac{7}{21}}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{\dfrac{36}{41}\times\dfrac{41}{9}}{\dfrac{14}{21}\times\dfrac{21}{7}}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{4}{2}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{4}{5}\)

\(a,\dfrac{2}{5}-\dfrac{3}{8}+\dfrac{7}{6}=\dfrac{16}{40}-\dfrac{15}{40}+\dfrac{7}{6}=\dfrac{1}{40}+\dfrac{7}{6}=\dfrac{3}{120}+\dfrac{140}{120}=\dfrac{143}{120}\)
\(b,\dfrac{2}{3}+\left[\dfrac{5}{7}+\left(-\dfrac{2}{3}\right)\right]=\dfrac{2}{3}+\dfrac{5}{7}+\left(-\dfrac{2}{3}\right)=\left[\dfrac{2}{3}+\left(-\dfrac{2}{3}\right)\right]+\dfrac{5}{7}=0+\dfrac{5}{7}=\dfrac{5}{7}\)
\(c,\dfrac{5}{13}+\left(-\dfrac{5}{7}\right)+\left(-\dfrac{20}{41}\right)+\dfrac{8}{13}+\left(-\dfrac{21}{41}\right)\)
\(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)-\dfrac{5}{7}-\dfrac{20}{41}-\dfrac{21}{41}=-\dfrac{5}{7}\)
a: =48/120-45/120+140/120
=143/120
b: =2/3-2/3+5/7=5/7
c: =5/13+8/13-5/7-20/41-21/41
=-5/7

\(\dfrac{5}{13}+\left(-\dfrac{5}{7}\right)+\left(-\dfrac{20}{41}\right)+\dfrac{8}{13}+\left(-\dfrac{21}{41}\right)\)
\(=\dfrac{5}{13}-\dfrac{5}{7}-\dfrac{20}{41}+\dfrac{8}{13}-\dfrac{21}{41}\)
\(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)-\left(\dfrac{20}{41}+\dfrac{21}{41}\right)-\dfrac{5}{7}\)
\(=\dfrac{13}{13}-\dfrac{41}{41}-\dfrac{5}{7}\)
\(=1-1-\dfrac{5}{7}\)
\(=0+\dfrac{5}{7}\)
\(=\dfrac{5}{7}\)

1: =5/13+8/13-20/41-21/41-5/17
=1-1-5/17=-5/17
2: =1/5+4/5-2/9-7/9+16/17
=16/17+1-1=16/17
3: =1/3-1/5+1/5-1/7+...+1/99-1/101
=1/3-1/101
=98/303

\(\dfrac{5}{13}+\dfrac{-5}{17}+\dfrac{-20}{41}+\dfrac{8}{13}+\dfrac{-21}{41}\)
\(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\dfrac{-5}{17}+\left(\dfrac{-20}{41}-\dfrac{21}{41}\right)\)
\(=\dfrac{13}{13}+\dfrac{-5}{17}+\dfrac{-41}{41}\)
\(=1-\dfrac{5}{17}-1\)
\(=-\dfrac{5}{17}\)

\(\frac{\left(\frac{36}{41}:\frac{9}{41}\right)}{\left(\frac{14}{21}:\frac{7}{21}\right)}\times\frac{2}{5}\)
\(=\frac{\left(\frac{36}{41}\times\frac{41}{9}\right)}{\left(\frac{14}{21}\times\frac{21}{7}\right)}\times\frac{2}{5}\)
\(=\frac{4}{2}\times\frac{2}{5}\)
\(=\frac{4}{5}\)
~ Ủng hộ nhé
\(\frac{\text{36/41 : 9/41 }}{\text{14/21: 7/21}}\)= \(\frac{4}{2}\)= 2 => 2 x \(\frac{2}{5}\)= \(\frac{4}{5}\)
(21)5×(41)2=6863321781🔥
21^5 x 41^2=6863321781