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\(\dfrac{5}{6}\times\dfrac{7}{5}+\dfrac{5}{6}:\dfrac{15}{3}+\dfrac{5}{6}\times\dfrac{3}{5}-\dfrac{5}{6}\\ =\dfrac{5}{6}\times\dfrac{7}{5}+\dfrac{5}{6}\times\dfrac{1}{5}+\dfrac{5}{6}\times\dfrac{3}{5}-\dfrac{5}{6}\\ =\dfrac{5}{6}\times\left(\dfrac{7}{5}+\dfrac{1}{5}+\dfrac{3}{5}-1\right)\\ =\dfrac{5}{6}\times\dfrac{6}{5}=1\)
\(\Rightarrow x\times\left(\dfrac{9}{5}+\dfrac{6}{5}\right)=\dfrac{3}{4}\\ \Rightarrow x\times3=\dfrac{3}{4}\\ \Rightarrow x=\dfrac{3}{4}:3\\ \Rightarrow x=\dfrac{3}{4}\times\dfrac{1}{3}=\dfrac{1}{4}\)
\(\dfrac{9}{5}\times x+\dfrac{6}{5}\times x=\dfrac{3}{4}\)
\(x\times\left(\dfrac{9}{5}+\dfrac{6}{5}\right)=\dfrac{3}{4}\)
\(x\times3=\dfrac{3}{4}\)
\(x=\dfrac{3}{4}:3=\dfrac{3}{4}\times\dfrac{1}{3}\)
\(x=4\)
\(428\times97+428\times2+428\)
\(=428\times\left(97+2+1\right)\)
\(=428\times100\)
\(=42800\)
\(995\times5+4\times5+5\)
\(=5\times\left(995+4+1\right)\)
\(=5\times1000\)
\(=5000\)
\(655\times6-355\times6\)
\(=6\times\left(655-355\right)\)
\(=6\times300\)
\(=1800\)
5/7 - 2/5 x 4/6
= 5/7 - 2/5 x 2/3
= 5/2 x 2/7 - 2/5 x 2/3
= 5/2 x 2/7 + 5/2 x 2/3
= 5/2 x 4/21
= 10/21
5/7 - 2/5 x4/6
= 5/7 - 8/30
= 5/7 - 4/15
= (75- 28)/ 105
= 47/105
\(\dfrac{6}{5}\) x 43 + \(\dfrac{6}{5}\) + \(\dfrac{6}{5}\) x 56
= \(\dfrac{6}{5}\) x (43 + 1 + 56)
= \(\dfrac{6}{5}\) x (44 + 56)
= \(\dfrac{6}{5}\) x 100
= 120
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