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A 16X5X9X3X4/3X5X16X9X4=1/1=1
B 1996X1995-1996X1/1994X1+1995X1994
=1995X(1996-1)/1995X(1994+1)=1995X1995/1995X1995
=1/1=1
\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x1996-1}{1995x1997+1997-1}\)
\(=\frac{1997x1996-1}{1997x\left(1995+1\right)-1}\)
\(=\frac{1997x1996-1}{1997x1996-1}\)
\(=1\)( vì tử số = mẫu số )
Tham khảo nha !!!
\(\frac{1997\times1996-1}{1995\times1997+1996}\)
= \(\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1996}{1995\times1997+1996}\)= 1
a)\(\frac{16x25+44\text{x}100}{29\text{x}96+142\text{x}48}\)
=\(\frac{4\text{x}4\text{x}25+11\text{x}4\text{x}4\text{x}25}{29\text{x}2\text{x}48+71\text{x}\text{ }2\text{x}48}\)
=\(\frac{\left(1+11\right)x4\text{x}4\text{x}25}{\left(29+71\right)x2\text{x}48}\)
=\(\frac{12\text{x}4\text{x}100}{100\text{x}2\text{x}48}\)
=\(\frac{48\text{x}100}{48\text{x}100\text{x}2}\)
=\(\frac{1}{2}\)
Đặt \(A=\frac{1995x1994-1}{1995x1993+1994}=\frac{1995x\left(1993+1\right)-1}{1995x1993+1994}=\frac{1995x1993+1995-1}{1995x1993+1994}=\frac{1995x1993+1994}{1995x1993+1994}=1\)
Vậy A = 1
\(\frac{11}{4}\)\(>\)\(\frac{19}{10}\)
\(\frac{1992}{1993}\)\(< \)\(\frac{1994}{1995}\)
\(=\dfrac{1996^2-1-1}{1996^2-1996+1996-2}=1\)