\(\frac{69}{77}\)X \(\frac{21}{11}\)
\(\frac{69}{77}\): \(\frac{21}{11}\)
\(\frac{69}{77}\)- \(\frac{21}{11}\)
\(\frac{69}{77}\)+ \(\frac{21}{11}\)
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\(D=\frac{4}{21}+\frac{4}{77}+\frac{4}{165}+\frac{4}{285}+\frac{4}{437}+\frac{4}{621}\)
\(D=\frac{4}{3.7}+\frac{4}{7.11}+\frac{4}{11.15}+\frac{4}{15.19}+\frac{4}{19.23}+\frac{4}{23.27}\)
\(D=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{23}+\frac{1}{23}-\frac{1}{27}\)
\(D=\frac{1}{3}-\frac{1}{27}\)
\(D=\frac{9}{27}-\frac{1}{27}\)
\(D=\frac{8}{27}\)
\(D=\frac{4}{21}+\frac{4}{77}+\frac{4}{165}+\frac{4}{285}+\frac{4}{437}+\frac{4}{621}\)
\(D=\frac{4}{3.7}+\frac{4}{7.11}+\frac{4}{11.15}+\frac{4}{15.19}+\frac{4}{19.23}+\frac{4}{23.27}\)
\(D=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{23}+\frac{1}{23}-\frac{1}{27}\)
\(D=\frac{1}{3}-\frac{1}{27}\)
\(D=\frac{8}{27}\)
_Chúc bạn học tốt_
\(\Leftrightarrow x\cdot\left[\dfrac{1}{4}\left(\dfrac{4}{21}+\dfrac{4}{77}+\dfrac{4}{165}\right)+\dfrac{2}{19\cdot30}+\dfrac{2}{19\cdot34}\right]=\dfrac{3}{276}\)
\(\Leftrightarrow x\cdot\left[\dfrac{1}{4}\left(\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{15}\right)+\dfrac{32}{4845}\right]=\dfrac{3}{276}\)
\(\Leftrightarrow x\cdot\dfrac{71}{969}=\dfrac{3}{276}\)
hay \(x=\dfrac{969}{6532}\)
A = \(\frac{1}{21}+\frac{1}{77}+\frac{1}{165}+\frac{1}{285}+\frac{1}{437}\)
A = \(\frac{1}{3.7}+\frac{1}{7.11}+\frac{1}{11.15}+\frac{1}{15.19}+\frac{1}{19.23}\)
A = \(\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{7}\right)+\frac{1}{4}.\left(\frac{1}{7}-\frac{1}{11}\right)+\frac{1}{4}.\left(\frac{1}{11}-\frac{1}{15}\right)+\frac{1}{4}.\left(\frac{1}{15}-\frac{1}{19}\right)+\frac{1}{4}.\left(\frac{1}{19}-\frac{1}{23}\right)\)
A = \(\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{23}\right)\)
A = \(\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{23}\right)\)
A = \(\frac{1}{4}.\frac{20}{69}\)
A = \(\frac{5}{69}\)
<=> \(\frac{-11}{9}\)X = 49 x \(\frac{3}{77}\)
<=> \(\frac{-11}{9}\)X = \(\frac{147}{77}\)
<=> X = \(\frac{-189}{121}\)
\(\frac{69}{77}\times\frac{21}{11}=\frac{69\times21}{77\times11}=\frac{1449}{847}=\frac{207}{121}\)
\(\frac{69}{77}:\frac{21}{11}=\frac{69}{77}\times\frac{11}{21}=\frac{69\times11}{77\times21}=\frac{759}{1617}=\frac{23}{49}\)
\(\frac{66}{77}-\frac{21}{11}=\frac{66}{77}-\frac{147}{77}=\frac{66-147}{77}=\frac{-81}{77}\)
\(\frac{69}{77}+\frac{21}{11}=\frac{69}{77}+\frac{147}{77}=\frac{69+147}{77}=\frac{216}{77}\)
~ Hok tốt ~
\(\frac{69}{77}.\frac{21}{11}=\frac{207}{121}\)
\(\frac{69}{77}:\frac{21}{11}=\frac{23}{49}\)
\(\frac{69}{77}-\frac{21}{11}=-\frac{78}{77}\)
\(\frac{69}{77}+\frac{21}{11}=\frac{216}{77}\)
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