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A=1999x1993=(1996+3)x1993=1996x1993+1993x3
B=1996x1996=1996x(1993+3)=1996x1993+1996x3
Vì 1996x1993=1996x1993 nên ta so sánh :1993x3 và 1996 x3
Ta có 1993x3<1996x3 nên A<B
HT
![](https://rs.olm.vn/images/avt/0.png?1311)
a. 3/5 + 6/11 + 7/13 + 2/5 + 16/11 + 19/13
= ( 3/5 + 2/5 ) + ( 6/11 + 16/11 ) + ( 7/13 + 19/13)
= 1 + 2 + 2
= 5.
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{16}{11}+\frac{19}{13}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{6}{11}+\frac{16}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)\)
\(=1+2+2=5\)
b) \(\frac{1995}{1997}x\frac{1990}{1993}x\frac{1997}{1994}x\frac{1993}{1995}x\frac{997}{995}=\frac{1995x1990x1997x1993x997}{1997x1993x1994x1995x995}=\frac{1990x997}{1994x995}=\frac{995x2x997}{997x2x995}=1\)
a) =(3/5+2/5)+(6/11+16/11)+(19/13+7/13)
=5/5+22/11+26/13
=1+2+3
=6
![](https://rs.olm.vn/images/avt/0.png?1311)
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) \(\frac{16\times25+44\times100}{29\times96+142\times48}=\frac{25\times\left(16+44\times4\right)}{48\times\left(29\times2+142\right)}=\frac{25\times192}{48\times200}=\frac{4}{8}=\frac{1}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
N - M = 19 x 1945 - 19 x 1934 = 19 x (1945 - 1934) = 19 x 11 = 209
Ta có B-A = 1993 x 477 - 1993 x 427
1993 x ( 477 - 427 )
1993 x 50
Vậy hiệu của B-A = 1993 x 50
_HT_