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\(a.\frac{2\cdot\left(-13\right)\cdot9\cdot10}{\left(-3\right)\cdot4\cdot\left(-5\right)\cdot26}\)
\(=\frac{2\cdot\left(-13\right)\cdot3\cdot3\cdot2\cdot5}{\left(-3\right)\cdot2\cdot2\cdot\left(-5\right)\cdot13\cdot2}\)
\(=-\frac{3}{2}\)
b) \(\frac{2^3\cdot3^4}{2^2\cdot3^2\cdot5}=\frac{2\cdot3^2}{5}=\frac{2\cdot9}{5}=\frac{18}{5}\)
\(\frac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=\frac{2\cdot1\cdot11\cdot1}{1\cdot5\cdot7\cdot1}=\frac{22}{35}\)
c) \(\frac{121\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}=\frac{11\cdot11\cdot13\cdot10\cdot169}{13\cdot3\cdot6\cdot10\cdot11\cdot11\cdot6\cdot3}\)
\(=\frac{169}{3\cdot6\cdot6\cdot3}=\frac{169}{324}\)
d) \(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}\)
25/53=25*101/53*101=2525/5353
25/53=25*1001/53*10101=252525/535353
=)25/53=2525/5353=252525/535353
y b) tuong tu nhe
duyet nha
1.
a.\(\frac{2525}{5353}\)= \(\frac{25.101}{53.101}\)= \(\frac{25}{53}\)
\(\frac{252525}{535353}\)= \(\frac{25.10101}{53.10101}\)= \(\frac{25}{53}\)
Vậy \(\frac{25}{53}\)= \(\frac{2525}{5353}\)= \(\frac{252525}{535353}\)
b. \(\frac{3737}{4141}\)= \(\frac{37.101}{41.101}\)= \(\frac{37}{41}\)
\(\frac{373737}{414141}\)= \(\frac{37.10101}{41.10101}\)= \(\frac{37}{41}\)
Vậy \(\frac{37}{41}\)= \(\frac{3737}{4141}\)= \(\frac{373737}{414141}\)
2.
Phân số bằng phân số \(\frac{11}{13}\) mà hiệu của mẫu và tử cuar nó bằng 6 là \(\frac{33}{39}\)
TA CÓ : \(\frac{2^3.3^4}{2^2.3^2.5}\)= \(\frac{2^3.3^4}{\left(2.3\right)^2.5}\)= \(\frac{2^3.3^4}{6^2.5}\)= \(\frac{2^3.3^4}{36.5}\)= \(\frac{8.81}{180}\)= \(\frac{648}{180}\)= 648 : 180 = 3,6 HOẶC \(\frac{648}{180}\)= \(\frac{18}{5}\)
Ta có:\(\frac{2525}{5353}=\frac{25\cdot101}{53\cdot101}=\frac{25}{53}\)
\(\frac{252525}{535353}=\frac{25\cdot10101}{53\cdot10101}=\frac{25}{53}\)
\(\Rightarrow\)\(\frac{25}{53}=\frac{2525}{5353}=\frac{252525}{535353}\)
Rút gọn đi bạn.
\(\frac{2525}{5353}=\frac{25}{63};\frac{252525}{535353}=\frac{25}{53}\)
Rõ ràng quá rồi ha. Bạn trình bày nốt cho đủ đầy =))
Ta có \(\frac{25}{53}\)=\(\frac{25.101}{53.101}\)=\(\frac{2525}{5353}\)
\(\frac{25}{53}\)=\(\frac{25.10101}{53.10101}\)=\(\frac{252525}{535353}\)
\(\frac{2525}{5353}=\frac{2525:101}{5353:101}=\frac{25}{53}\)
\(\frac{252525}{535353}=\frac{252525:10101}{535353:10101}=\frac{25}{53}\)
Vậy\(\frac{25}{53}=\frac{2525}{5353}=\frac{252525}{535353}\)
Có : 2525/5353 = 25 x 101 / 53 x 101 = 25/53
252525/535353 = 25 x 10101 / 53 x 10101 = 25/53
=> 25/53 = 2525/5353 = 252525/535353
Tk mk nha
a)
\(y=\frac{2^3.3^4}{2^2.3^2.5}=\frac{2^2.2.3^2.3^2}{2^2.3^2.5}=\frac{2.3^2}{5}=\frac{18}{5}\)
b)\(y=\frac{1989.1990+3978}{1992.1991-3984}=\frac{1989.1990+1989.2}{1992.1991-1992.2}=\frac{1989.1992}{1992.1989}=1\)(vì tử bằng mẫu)