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a: \(=\dfrac{-4\cdot13\cdot9\cdot5}{3\cdot4\cdot5\cdot2\cdot13}=\dfrac{3}{2}\)
b: \(=\dfrac{1}{2}\cdot\dfrac{1}{3}\cdot5=\dfrac{5}{6}\)
a, \(\frac{7.25-49}{7.24+21}\)
\(=\frac{7.25-7.7}{7.24+7.3}=\frac{7\left(25-7\right)}{7\left(24+3\right)}=\frac{18}{27}=\frac{2}{3}\)
b, \(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}=\frac{2.\left(-13\right).\left(-3\right).\left(-3\right).\left(-5\right).\left(-2\right)}{\left(-3\right).2.2.\left(-5\right).\left(-13\right).\left(-2\right)}\)
\(=\frac{-3}{2}\)
DỄ LẮM !
a) \(\frac{7\cdot25-49}{7\cdot24+21}=\frac{7\cdot25-7\cdot7}{7\cdot24+7\cdot3}=\frac{7\left(25-7\right)}{7\left(24+3\right)}\)
=\(\frac{18}{27}=\frac{2}{3}\)
b) \(\frac{2\cdot\left(-13\right)\cdot9\cdot10}{\left(-3\right)\cdot4\cdot\left(-5\right)\cdot26}=\frac{-1\cdot2\cdot13\cdot3\cdot3\cdot5\cdot2}{1\cdot3\cdot2\cdot2\cdot5\cdot13\cdot2}=-\frac{3}{2}\)
Chúc bn học tốt !
=\(\dfrac{1.\left(-1\right).\left(-3\right).\left(-2\right)}{1.2.1.2}\)
\(=\dfrac{-6}{4}\)
\(=-\dfrac{3}{4}\)
\(a.\frac{2\cdot\left(-13\right)\cdot9\cdot10}{\left(-3\right)\cdot4\cdot\left(-5\right)\cdot26}\)
\(=\frac{2\cdot\left(-13\right)\cdot3\cdot3\cdot2\cdot5}{\left(-3\right)\cdot2\cdot2\cdot\left(-5\right)\cdot13\cdot2}\)
\(=-\frac{3}{2}\)
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) \(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}\)
\(\frac{7.25-49}{7.24+21}=\frac{7.24+7-49}{7.24+21}=\frac{7.24-42}{7.24+21}=\frac{7.24-7.6}{7.24+7.3}=\frac{7\left(24-6\right)}{7\left(24+3\right)}=\frac{7.18}{7.27}=\frac{18}{27}=\frac{2}{3}\)
\(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.9-\left(-5\right).20}=\frac{4.\left(-13\right).9.5}{\left(-3\right).4.9-\left(-5\right).20}=\frac{4.\left(-13\right).9.5}{4.\left(-27\right)-4.\left(-25\right)}=\frac{4.\left(-13\right).9.5}{4.\left[-27-\left(-25\right)\right]}=\frac{4.\left(-13\right).9.5}{4.\left(-2\right)}=\frac{\left(-13\right).9.5}{\left(-2\right)}=\frac{585}{2}\)
- Phần a): phân tích thành các thừa số chung, rồi rút chúng ra ngoài dấu ngoặc, sau đó rút gọn.
- Phần b): phân tích một số thành tích các số, sau đó rút gọn các số giống nhau ở tử và mẫu.
mấy cái này ta chỉ cầm bấm máy tính thôi
\(\dfrac{7.25-49}{7.24+21}=\dfrac{2}{3}\)
\(\dfrac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}=\dfrac{-3}{2}\)
a\(\frac{7.25-49}{7.24+21}\)=\(\frac{1.25-49}{1.24+21}\)=\(\frac{25-49}{24+21}\)=\(\frac{-8}{15}\)
mình làm câu a thôi nhé
\(a~\frac{7.25-49}{7.24+21}\)
\(=\frac{7.25-7.7}{7.24+7.3}\)
\(=\frac{7\left(25-7\right)}{7\left(24+3\right)}\)
\(=\frac{18}{27}=\frac{2}{3}\)
\(b~\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
\(=\frac{2.\left(-13\right).3.3.2.5}{\left(-3\right).2.2.\left(-5\right).2.13}\)
\(=\frac{\left(-1\right).3}{\left(-1\right).\left(-1\right).2}\)
\(=\frac{3}{\left(-1\right).2}\)
\(=\frac{3}{-2}\)
\(=-\frac{3}{2}\)
\(\frac{2.\left(-13\right).9.10}{-3.4.\left(-5\right).26}=\frac{2.\left(-13\right).\left(-3\right).\left(-3\right).\left(-5\right).\left(-2\right)}{-3.2.2.\left(-5\right).\left(-13\right).\left(-2\right)}=\frac{-3}{2}\)
Bạn tự trực tiêu các số bằng nhau nha
Chúc học tốt!
\(\frac{2.\left(-13\right).9.10}{-3.4.\left(-5\right).26}\)
\(=\frac{1.\left(-1\right).3.2}{-1.2.\left(-1\right).2}\)
\(=\frac{-6}{4}=\frac{-3}{2}\)
Vậy phân số \(\frac{2.\left(-13\right).9.10}{-3.4.\left(-5\right).26}\) rút gọn là \(\frac{-3}{2}\)