5/11x7/6-5/6x1/11+6/11
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`a, 2/7 +(3/7 + 5/7)= 2/7 + 3/7 + 5/7=(2/7 +5/7)+3/7= 1+3/7=7/7+3/7=10/7`
`b, (6/11+5/11)+4/11= 11/11+4/11=15/11`
`c, (5/6 + 7/6)+2/6= 12/6 + 2/6= 14/6= 7/3`
`@ yl`
\(a\) \(\dfrac{2}{7}+\left(\dfrac{3}{7}+\dfrac{5}{7}\right)=\dfrac{2}{7}+\dfrac{8}{7}=\dfrac{10}{7}\)
\(b\) \(\left(\dfrac{6}{11}+\dfrac{5}{11}\right)+\dfrac{4}{11}=\dfrac{11}{11}+\dfrac{4}{11}=\dfrac{15}{11}\)
\(c\) \(\left(\dfrac{5}{6}+\dfrac{7}{6}\right)+\dfrac{2}{6}=\dfrac{12}{6}+\dfrac{2}{6}=\dfrac{14}{6}=\dfrac{7}{3}\)
a: \(=\dfrac{-3-5-7}{4}=\dfrac{-15}{4}\)
b: \(=\dfrac{-6-5-2+6}{11}=\dfrac{-7}{11}\)
\(a,\dfrac{5}{3}>\dfrac{3}{5};b,\dfrac{6}{11}< \dfrac{9}{5};c,\dfrac{6}{11}=\dfrac{6}{11};d,\dfrac{8}{9}< \dfrac{8}{5}\)
$\frac{5}{11}\times\frac76-\frac56\times\frac{1}{11}+\frac{6}{11}$
$=\frac{5}{6}\times\frac{7}{11}-\frac56\times\frac{1}{11}+\frac{6}{11}$
$=\frac56\times\left(\frac{7}{11}-\frac{1}{11}\right)+\frac{6}{11}$
$=\frac56\times\frac{6}{11}+\frac{6}{11}$
$=\frac{6}{11}\times\left(\frac56+1\right)$
$=\frac{6}{11}\times\frac{11}{6}=1$
$\frac{5}{11}\times\frac76-\frac56\times\frac{1}{11}+\frac{6}{11}$
$=\frac{5}{6}\times\frac{7}{11}-\frac56\times\frac{1}{11}+\frac{6}{11}$
$=\frac56\times\left(\frac{7}{11}-\frac{1}{11}\right)+\frac{6}{11}$
$=\frac56\times\frac{6}{11}+\frac{6}{11}$
$=\frac{6}{11}\times\left(\frac56+1\right)$
$=\frac{6}{11}\times\frac{11}{6}=1$