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\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x1996-1}{1995x1997+1997-1}\)
\(=\frac{1997x1996-1}{1997x\left(1995+1\right)-1}\)
\(=\frac{1997x1996-1}{1997x1996-1}\)
\(=1\)( 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
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
Ta có:\(\frac{5}{9}.\frac{3}{5}:\frac{2}{9}\)
\(\Rightarrow\frac{5}{9}.\frac{3}{5}.\frac{9}{2}\)
\(=\frac{3}{2}\)
Chúc bạn hok tốt
\(\frac{125}{34}+\frac{78}{12}=10\frac{3}{17}=\frac{173}{17}\)
\(\frac{12}{78}\times\frac{23}{12}=\frac{23}{78}\)
\(\frac{98}{24}-\frac{12}{97}=3\frac{1117}{1164}=\frac{4609}{1164}\)
\(\frac{12}{33}:\frac{5}{12}=\frac{48}{55}\)
-----------HOK TỐT----------
a)\(\frac{16x25+44\text{x}100}{29\text{x}96+142\text{x}48}\)
=\(\frac{4\text{x}4\text{x}25+11\text{x}4\text{x}4\text{x}25}{29\text{x}2\text{x}48+71\text{x}\text{ }2\text{x}48}\)
=\(\frac{\left(1+11\right)x4\text{x}4\text{x}25}{\left(29+71\right)x2\text{x}48}\)
=\(\frac{12\text{x}4\text{x}100}{100\text{x}2\text{x}48}\)
=\(\frac{48\text{x}100}{48\text{x}100\text{x}2}\)
=\(\frac{1}{2}\)
\(\frac{3}{2}+\frac{3}{8}+\frac{3}{32}+\frac{3}{128}+\frac{3}{512}\)
\(=3.\left(\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}+\frac{1}{2^9}\right)\)
\(=3.A\)với \(A=\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}+\frac{1}{2^9}\)
\(\Rightarrow2^2A=\left(2+\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}\right)\)
\(\Rightarrow2^2A-A=\left(2+\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}\right)-\left(\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}+\frac{1}{2^9}\right)\)
\(\Rightarrow4A-A=2-\frac{1}{2^9}\)
\(\Rightarrow3A=2-\frac{1}{512}=\frac{1023}{512}\Rightarrow A=\frac{1023}{512}:3\)
\(\Rightarrow\frac{3}{2}+\frac{3}{8}+\frac{3}{32}+\frac{3}{128}+\frac{3}{512}=3.\left(\frac{1023}{512}:3\right)=\frac{1023}{512}\)
\(\frac{6\cdot7\cdot12}{18\cdot4\cdot7}\)
\(=\frac{6\cdot7\cdot4\cdot3}{6\cdot3\cdot4\cdot7}=1\)
\(\frac{15\cdot7\cdot9}{77\cdot3\cdot18}=\frac{5\cdot3\cdot7\cdot9}{11\cdot7\cdot3\cdot9\cdot2}=\frac{5}{11\cdot2}=\frac{5}{22}\)
chúc hok tốt
Trả lời
\(\frac{6.7.12}{18.4.7}=\frac{6.7.3.4}{6.3.4.7}=1\)
\(\frac{15.7.9}{77.3.18}=\frac{5.3.7.9}{11.7.3.2.9}=\frac{5}{22}\)
Học tốt
A 16X5X9X3X4/3X5X16X9X4=1/1=1
B 1996X1995-1996X1/1994X1+1995X1994
=1995X(1996-1)/1995X(1994+1)=1995X1995/1995X1995
=1/1=1