Tính D=\(\frac{\frac{15}{6\times16}+\frac{15}{16\times26}+\frac{15}{26\times36}}{\frac{33}{6\times16}-\frac{63}{16\times26}+\frac{93}{26\times36}}\)
Tính
\(\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}+\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\)
Bạn ơi, nếu tính bằng máy tính thì kết quả là 5/7 và bâyh mình đang cần cách giải bạn ạ
\(\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}+\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\) tính nhẩm
Tính
\(A=\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}+\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\)
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A=\(\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\)
\(A=\frac{15}{\frac{6\cdot16}{\frac{33}{6\cdot16}}}+\frac{15}{\frac{\frac{16\cdot26}{63}}{16\cdot26}}+\frac{15}{\frac{26\cdot36}{\frac{93}{26\cdot36}}}\) = ?
\(\frac{1}{11\times16}+\frac{1}{16\times21}+\frac{1}{21\times26}+...+\)\(\frac{1}{61\times66}\)
đặt A= dãy số trên.Ta có:
5A= \(\frac{5}{11x16}+\frac{5}{16x21}+...+\frac{5}{61x66}\)
=> 5A= \(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\)
=> 5A = \(\frac{1}{11}-\frac{1}{66}\)
=> 5A= \(\frac{5}{66}\)
=> A=\(\frac{1}{66}\)
\(=\frac{1}{5}\left(\frac{5}{11.16}\frac{5}{16.21}\frac{5}{21.26}+......+\frac{5}{61.66}\right)\)
\(=\frac{1}{5}\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+....+\frac{1}{61}+\frac{1}{66}\right)\)
=\(\frac{1}{5}\left(\frac{1}{11}+\frac{1}{66}\right)\)
\(=\frac{1}{5}.\frac{7}{66}\)
\(=\frac{7}{330}\)
\(y=\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}+\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\)
các bạn tính kết quả giùm mình với ai trả lời sớm nhất mình sẽ like
Tính nhanh: \(\left(\frac{1}{11\times16}\right)+\left(\frac{1}{16\times21}\right)+\left(\frac{1}{21\times26}\right)+...+\left(\frac{1}{56\times61}\right)+\left(\frac{1}{61\times66}\right)\)
\(\frac{1}{11\times16}+\frac{1}{16\times21}+\frac{1}{21\times26}+...+\frac{1}{56\times61}+\frac{1}{61\times66}\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{56}-\frac{1}{61}+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\frac{5}{66}\)
\(=\frac{1}{66}\)
\(\frac{1}{11\times16}+\frac{1}{16\times21}+\frac{1}{21\times26}+...+\frac{1}{56\times61}+\frac{1}{61\times66}\)
\(=\frac{1}{5}\times\left(\frac{5}{11\times16}+\frac{5}{16\times21}+\frac{5}{21\times26}+...+\frac{5}{56\times61}+\frac{5}{61\times66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{56}-\frac{1}{61}+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\frac{5}{66}=\frac{1}{66}\)
\(\frac{1}{11.16}+\frac{1}{16.21}+\frac{1}{21.26}+...+\frac{1}{61.66}\)
\(=\frac{1}{5}.\left(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+...+\frac{5}{61.66}\right)\)
\(=\frac{1}{5}.\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}.\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{1}{5}.\frac{5}{66}\)
\(=\frac{1}{66}\)
\(\frac{3}{8\times11}+\frac{4}{11\times15}+\frac{5}{15\times20}+\frac{6}{20\times26}+\frac{7}{26\times33}+\frac{8}{33\times41}+\frac{9}{41\times50}=\frac{2}{5}-2\times x\)
làm ơn giúp em giải bài toán này!!!!!!!!