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\(\frac{423134.846267-423133}{846267.423133+423134}\)
Xét tử số : 423134.846267-423133
= (423133+1).846267-423133
= 423133.846267+846267-423133
=423133.846267+ 423134
Ta có : \(\frac{423133.846267+423134}{846267.423133+423134}\)=1
\(\frac{423134.846267-423133}{846267.423133+423134}=\frac{\left(423134+1\right).846267-423133}{846267.423133+423134}\)
\(\frac{423133.846267+846267-423133}{846267.423133-423134}=\frac{423133.846267-423134}{864267.423133-423134}=1\)
\(=\frac{\left(423133+1\right).846267-423133}{846267.423133+423134}=\frac{846267.423133+846267-423133}{846267.423133+423134}=\)
\(=\frac{846267.423133+423134}{846267.423133+423134}=1\)
\(\dfrac{423134.846267-423133}{846267.423133+423134}.\)
\(=\dfrac{\left(423133+1\right).846267-423133}{846267.423133+423134}.\)
\(=\dfrac{423133.846267+\left(846267-423133\right)}{846267.423133+423134}.\)
\(=\dfrac{423133.846267+423134}{846267.423133+423134}=1.\)
Vậy..........
\(\dfrac{423134\cdot846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{(423133+1)\cdot846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{423133\cdot846267+846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{423133\cdot846267+423134}{864267\cdot423133+423134}=1\)