thực hiện phép tính:
6/7 + (2/11 - 6/7)
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+
\(\frac{6}{7}+\left(\frac{2}{11}-\frac{6}{7}\right)\)
\(=\frac{6}{7}+\frac{2}{11}-\frac{6}{7}\)
\(=\left(\frac{6}{7}-\frac{6}{7}\right)+\frac{2}{11}\)
\(=\frac{2}{11}\)
+
\(\frac{6}{7}+\left(\frac{2}{11}-\frac{6}{7}\right)\)
\(=\frac{6}{7}+\frac{2}{11}-\frac{6}{7}\)
\(=\left(\frac{6}{7}-\frac{6}{7}\right)+\frac{2}{11}\)
\(=\frac{2}{11}\)
\(=\dfrac{5\left(5+2\right)}{11.7}+\dfrac{6}{11}=\dfrac{5}{11}+\dfrac{6}{11}=1\)
Ta có:
= 5/11 .( 5/7+ 2/7 ) + 6/11
= 5/11 . 1 + 6/11
= 11/ 11
= 1
#học tốt ạ :3
\(A,\dfrac{7}{11}+\dfrac{5}{6}-\dfrac{-4}{11}-\dfrac{1}{6}\)
\(= (\dfrac{7}{11}+\dfrac{-4}{11})-(\dfrac{5}{6}-\dfrac{1}{6})\)
\(=\dfrac{3}{11}-\dfrac{2}{3}\)
\(= \dfrac{9}{33}-\dfrac{22}{33}\)
\(= \dfrac{-13}{33}\)
\(B,\dfrac{5}{9}.\dfrac{7}{3}+\dfrac{5}{9}.\dfrac{9}{13}-\dfrac{5}{9}:\dfrac{13}{5}\)
\(=(\dfrac{5}{9}.\dfrac{5}{9}:\dfrac{5}{9}).\dfrac{7}{3}+\dfrac{9}{13}-\dfrac{13}{5}\)
\(=(\dfrac{5}{9}.\dfrac{7}{3})+(\dfrac{9}{13}-\dfrac{13}{5})\)
\(=(\dfrac{5}{9}.\dfrac{21}{9})+(\dfrac{45}{65}-\dfrac{169}{65})\)
\(=\dfrac{35}{27}+\dfrac{-124}{65}\)
\(=\dfrac{2275}{1755}+\dfrac{-3348}{1755}\)
\(=\dfrac{-1073}{1755}\)
b)
\(=\frac{3}{7}\left(\frac{9}{11}+\frac{2}{11}\right)\)
\(=\frac{3}{7}.1=\frac{3}{7}\)
6/7+(2/11-6/7)
=6/7+2/11-6/7
=6/7-6/7+2/11
=0+2/11
=2/11
+
\(\frac{6}{7}+\left(\frac{2}{11}-\frac{6}{7}\right)\)
\(=\frac{6}{7}+\frac{2}{11}-\frac{6}{7}\)
\(=\left(\frac{6}{7}-\frac{6}{7}\right)+\frac{2}{11}\)
\(=\frac{2}{11}\)