Question

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Answer 1

\(8,=17\times\left(\dfrac{1}{5}+\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{2}\right):\left(\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{10}\right)=17\times\dfrac{6}{5}:\dfrac{19}{40}=\dfrac{102}{5}\times\dfrac{40}{19}=\dfrac{816}{19}\\ 9,=\dfrac{3}{2}\times\left(\dfrac{6}{10\times16}+\dfrac{6}{16\times22}+...+\dfrac{6}{94\times100}\right)\\ =\dfrac{3}{2}\times\left(\dfrac{1}{10}-\dfrac{1}{16}+\dfrac{1}{16}-\dfrac{1}{22}+...+\dfrac{1}{94}-\dfrac{1}{100}\right)\\ =\dfrac{3}{2}\times\left(\dfrac{1}{10}-\dfrac{1}{100}\right)=\dfrac{3}{2}\times\dfrac{9}{100}=\dfrac{27}{200}\)

\(10,33\times14=462\\ 333\times14=4662\\ \Rightarrow333333\times14=4666662\)