rút gọn phân số:
1989*1996+3978/1992*1991-3984
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\(\frac{1989\times1990+3978}{1992\times1991-3984}=\frac{1989\times1990+1989\times2}{1992\times1991-1992\times2}=\frac{1989\times\left(1990+2\right)}{1992\times\left(1991-2\right)}=\frac{1989\times1992}{1992\times1989}=1\)
1998*1990+3978=1998*1990+1989*2=1998*(1990+2)=1998*1992
1992*1991-3984=1992*1991-1992*2=1992*(1991-2)=1992*1989
Sau đó rút gọn lại đáp án là 1
\(=\dfrac{1989\left(1990+2\right)}{1992\left(1991-2\right)}=\dfrac{1989}{1989}\cdot\dfrac{1992}{1992}=1\)
\(\left(1989.1990+3978\right):\left(1992.1991-3984\right)\)
\(=\left[1989.\left(1990+2\right)\right]:\left[1992\left(1991-2\right)\right]=\left(1989.1992\right):\left(1992.1989\right)=1\)
\(\dfrac{1989\times1990+3978}{1992\times1991-3984}\)
\(=\dfrac{1989\times1990+1989\times2}{1992\times1991-1992\times2}\)
\(=\dfrac{1989\times\left(1990+2\right)}{1992\times\left(1991+2\right)}\)
\(=\dfrac{1989\times1992}{1992\times1989}\)
\(=1\)
a,\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2.3^2}{5}=\frac{2.9}{5}=\frac{18}{5}\)
b, \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}=\frac{2.11}{5.7}=\frac{22}{35}\)
c,\(\frac{1998.1990+3978}{1992.1991-3984}=\frac{18.111.1990+18.221}{24.83.1991-166.24}\)
\(=\frac{18.\left(111.1990+221\right)}{24.\left(83.1991-166\right)}\)
\(=\frac{3.221111}{4.165087}=\frac{221111}{4.55029}=\frac{221111}{220116}\)
\(\)
\(\frac{-315}{540}\)
\(=\frac{-7\cdot45}{12\cdot45}\)
\(=\frac{-7}{12}\)
\(\frac{25\cdot13}{26\cdot35}=\frac{5\cdot5\cdot13}{13\cdot2\cdot7\cdot5}=\frac{5}{2\cdot7}=\frac{5}{14}\)
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