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\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=\frac{44}{11}+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(=\frac{64}{16}+\frac{13}{16}\)
\(=\frac{77}{16}\)
Ta có: \(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}=\frac{77}{16}\)
\(\frac{1}{11\times16}+\frac{1}{16\times21}+\frac{1}{21\times26}+...+\frac{1}{56\times61}+\frac{1}{61\times66}\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{56}-\frac{1}{61}+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\frac{5}{66}\)
\(=\frac{1}{66}\)
\(\frac{1}{11\times16}+\frac{1}{16\times21}+\frac{1}{21\times26}+...+\frac{1}{56\times61}+\frac{1}{61\times66}\)
\(=\frac{1}{5}\times\left(\frac{5}{11\times16}+\frac{5}{16\times21}+\frac{5}{21\times26}+...+\frac{5}{56\times61}+\frac{5}{61\times66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{56}-\frac{1}{61}+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\times\frac{5}{66}=\frac{1}{66}\)
a= (\(\frac{2}{5}\)+\(\frac{2}{9}\)+\(\frac{2}{11}\)\(\times\)\(\frac{5}{7}\)\(+\frac{7}{9}\)\(+\frac{7}{11}\)\()\)
a)(33,76+6,24)+19,52
=40+19,52
=59,52
b) (\(\frac{38}{11}\)+\(\frac{6}{11}\)) +\(\frac{13}{16}\)
=4+\(\frac{13}{16}\)
=\(\frac{77}{16}\)
Bài 2:
\(B=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).......\left(1-\frac{1}{2004}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{2003}{2004}\)
\(=\frac{1}{2004}\)
\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(=\frac{77}{16}\)
---------HOK TỐT---------
Trả lời :
\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\frac{38}{11}+\frac{13}{16}+\frac{6}{11}\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(4\frac{13}{16}\)