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\(\dfrac{5}{6}\times\dfrac{7}{5}+\dfrac{5}{6}:\dfrac{15}{3}+\dfrac{5}{6}\times\dfrac{3}{5}-\dfrac{5}{6}\\ =\dfrac{5}{6}\times\dfrac{7}{5}+\dfrac{5}{6}\times\dfrac{1}{5}+\dfrac{5}{6}\times\dfrac{3}{5}-\dfrac{5}{6}\\ =\dfrac{5}{6}\times\left(\dfrac{7}{5}+\dfrac{1}{5}+\dfrac{3}{5}-1\right)\\ =\dfrac{5}{6}\times\dfrac{6}{5}=1\)
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\(3\times\frac{6}{11}+\frac{6}{11}\times5+2\times\frac{6}{11}\text{ }\)
\(=\frac{6}{11}\times\left(3+5+2\right)\)
\(=\frac{6}{11}\times10\)
\(=\frac{60}{11}\)
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\(\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\)
\(=\frac{2\times3\times4\times5}{3\times4\times5\times6}\)
\(=\frac{2}{6}\)
\(=\frac{1}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow x\times\left(\dfrac{9}{5}+\dfrac{6}{5}\right)=\dfrac{3}{4}\\ \Rightarrow x\times3=\dfrac{3}{4}\\ \Rightarrow x=\dfrac{3}{4}:3\\ \Rightarrow x=\dfrac{3}{4}\times\dfrac{1}{3}=\dfrac{1}{4}\)
\(\dfrac{9}{5}\times x+\dfrac{6}{5}\times x=\dfrac{3}{4}\)
\(x\times\left(\dfrac{9}{5}+\dfrac{6}{5}\right)=\dfrac{3}{4}\)
\(x\times3=\dfrac{3}{4}\)
\(x=\dfrac{3}{4}:3=\dfrac{3}{4}\times\dfrac{1}{3}\)
\(x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(428\times97+428\times2+428\)
\(=428\times\left(97+2+1\right)\)
\(=428\times100\)
\(=42800\)
\(995\times5+4\times5+5\)
\(=5\times\left(995+4+1\right)\)
\(=5\times1000\)
\(=5000\)
\(655\times6-355\times6\)
\(=6\times\left(655-355\right)\)
\(=6\times300\)
\(=1800\)
1) 428×97+428×2+428
=428\times\left(97+2+1\right)=428×(97+2+1)
=428\times100=428×100
=42800=42800
995\times5+4\times5+52) 995×5+4×5+5
=5\times\left(995+4+1\right)=5×(995+4+1)
=5\times1000=5×1000
=5000=5000
655\times6-355\times63) 655×6−355×6
=6\times\left(655-355\right)=6×(655−355)
=6\times300=6×300
=1800=1800
\(\dfrac{6}{5}\) 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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