Tính nhanh: 1994 x 1993 - 1992 x 1993/ 1992 x 1993 + 1994 x 7 + 1986
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1993 x ( 1994 - 1992 ) 1992 x ( 1993 + 7 )
= 1993 x 2 =1992 x 2000
= 3986 =398
4
x
1986
=
791
2
2
2
4
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a) \(15\times\frac{2121}{4343}+15\times\frac{222222}{434343}=15\times\frac{21}{43}+15\times\frac{22}{43}=15\times\left(\frac{21}{43}+\frac{22}{43}\right)=15\times1=15\)
b) \(\frac{16\times25+44\times100}{29\times96+142\times48}=\frac{25\times\left(16+44\times4\right)}{48\times\left(29\times2+142\right)}=\frac{25\times192}{48\times200}=\frac{4}{8}=\frac{1}{2}\)
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\(\frac{1994.1993-1992.1993}{1992.1993+1994.7+1986}\)\(=\frac{\left(1994-1992\right).1993}{1992.1993+1992.7+2.7+1986}\)\(=\frac{2.1993}{1992.\left(1993+7\right)+14+1986}\)
\(=\frac{2.1993}{1992.2000+2000}\)\(=\frac{2.1993}{2000.\left(2000+1\right)}\)\(=\frac{2.1993}{2000.2001}\)\(=\frac{2.1993}{2.1000.2001}\)\(=\frac{1993}{1000.2001}=\frac{1993}{2001000}\)