tính \(A=\frac{\frac{15}{6.16}+\frac{15}{16.26}+\frac{15}{26.36}}{\frac{33}{6.16}-\frac{63}{16.26}+\frac{93}{26.36}}\)
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TN
4 tháng 5 2016
\(A=\frac{\frac{3}{2}\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}{\frac{33}{10}\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}=\frac{\frac{3}{2}}{\frac{33}{10}}=\frac{3}{2}:\frac{33}{10}=\frac{5}{11}\)
14 tháng 8 2020
Ta có:\(A=\frac{\frac{15}{6.16}+\frac{15}{16.26}+\frac{15}{26.36}}{\frac{33}{6.16}+\frac{63}{16.26}+\frac{93}{26.36}}\)
=>\(A=\frac{\left(\frac{1}{6.16}+\frac{1}{16.26}+\frac{1}{26.36}\right).15}{\frac{33}{6.16}+\frac{\frac{21}{11}.33}{16.26}+\frac{\frac{31}{11}.33}{26.36}}\)
=>\(A=\frac{\left(\frac{1}{6.16}+\frac{1}{16.26}+\frac{1}{26.36}\right).15}{\frac{21}{11}.\frac{31}{11}.33.\left(\frac{1}{6.16}+\frac{1}{16.26}+\frac{1}{26.36}\right)}\)
=>\(A=\frac{15}{\frac{21}{11}.\frac{31}{11}.33}\)
=>\(A=\frac{15}{\frac{1953}{11}}\)
=>\(A=\frac{55}{651}\)
Vậy \(A=\frac{55}{651}\)
13 tháng 7 2015
\(\Rightarrow B=\frac{\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}{\frac{33}{10}.\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}=\frac{\frac{3}{2}}{\frac{33}{10}}=\frac{3}{2}:\frac{33}{10}=\frac{5}{11}\)
DP
20 tháng 8 2017
\(\frac{\frac{15}{6.16}+\frac{15}{16.26}+\frac{15}{26.36}}{\frac{33}{6.16}-\frac{63}{16.26}-\frac{93}{26.36}}\)
\(=\frac{\frac{15}{10}\cdot\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}{\frac{11}{32}-\frac{63}{416}-\frac{31}{312}}\)
\(=\frac{\frac{15}{10}\cdot\left(\frac{1}{6}-\frac{1}{36}\right)}{\frac{143}{416}-\frac{63}{416}-\frac{124}{\frac{3}{416}}}=\frac{\frac{5}{24}}{\frac{143-63-\frac{124}{3}}{416}}\)
\(=\frac{\frac{5}{24}}{\frac{116}{\frac{3}{416}}}=\frac{\frac{5}{24}}{\frac{29}{312}}=\frac{65}{29}\)
\(\frac{15.\left(\frac{1}{616}.\frac{1}{6.16}.\frac{1}{6.16}\right)}{33.\left(\frac{1}{6.16}.\frac{1}{6.16}.\frac{1}{6.16}\right)}=\frac{15}{35}\)