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Từ tỉ lệ thức \(\dfrac{-15}{5.1}=\dfrac{-35}{11.9}\) ta có những tỉ lệ thức sau:
\(\dfrac{11.9}{5.1}=\dfrac{-35}{-15}\) ;\(\dfrac{-15}{-35}=\dfrac{5.1}{11.9}\) ;\(\dfrac{5.1}{-15}=\dfrac{11.9}{35}\)
\(\dfrac{-12}{-7\dfrac{1}{3}}=\dfrac{1.6}{55};\dfrac{1.6}{-12}=\dfrac{-7\dfrac{1}{3}}{55};\dfrac{-7\dfrac{1}{3}}{-12}=\dfrac{55}{1.6}\)
1)
a) \(1\dfrac{5}{6}=\dfrac{-x}{5}\)
\(\Rightarrow\dfrac{11}{6}=\dfrac{-x}{5}\)
\(\Rightarrow-x=\dfrac{5.11}{6}=\dfrac{55}{6}\)
\(\Rightarrow x=-\dfrac{55}{6}\)
b) 4,25 : 8 = -3,5 : x
\(\dfrac{4,25}{8}=\dfrac{-3,5}{x}\)
\(x=\dfrac{-3,5.8}{4,25}\)
\(x=\dfrac{-28}{4,25}\)
2.
\(-\dfrac{12}{1,6}=\dfrac{55}{-7\dfrac{1}{3}}\)
\(\Rightarrow-\dfrac{12}{1,6}=\dfrac{55}{-\dfrac{22}{3}}\)
Ta có thể lặp đc các tỉ lệ thức sau:
\(-\dfrac{12}{1,6}=\dfrac{55}{-\dfrac{22}{3}}\)
\(\dfrac{-\dfrac{22}{3}}{1,6}=\dfrac{55}{-12}\)
\(-\dfrac{12}{55}=\dfrac{1,6}{-\dfrac{22}{3}}\)
\(\dfrac{1,6}{-12}=\dfrac{-\dfrac{22}{3}}{55}\)
6:(-27)=(\(-6\dfrac{1}{2}\))\(:29\dfrac{1}{4}\)
\(\Leftrightarrow\)6:(-27)=\(\left(-\dfrac{13}{2}\right):\dfrac{117}{4}\)
\(\Rightarrow\)\(\left(-\dfrac{13}{2}\right):\dfrac{117}{4}\)=\(\left(-\dfrac{13}{2}\right):\dfrac{4}{117}\)=\(-\dfrac{2}{9}\)
Ta có:\(\dfrac{6}{-27}=\dfrac{-2}{9}\)
hay\(\dfrac{6}{-2}=\dfrac{-27}{9}\);\(\dfrac{6}{-2}=\dfrac{27}{-9}\);\(\dfrac{2}{-9}=\dfrac{6}{-27}\)
\(Từ\) \(\dfrac{-1,2}{1,6}=\dfrac{55}{-7\dfrac{1}{3}}\Rightarrow\) \(\dfrac{1,6}{-1,2}=\dfrac{-7\dfrac{1}{3}}{55}\)
\(\Rightarrow\dfrac{-7\dfrac{1}{3}}{55}=\dfrac{1,6}{-1,2}\)
\(\Rightarrow\dfrac{55}{-7\dfrac{1}{3}}=\dfrac{-1,2}{1,6}\)
\(\dfrac{6}{-6\dfrac{1}{2}}=\dfrac{29\dfrac{1}{4}}{-27};\dfrac{6}{29\dfrac{1}{4}}=\dfrac{-6\dfrac{1}{2}}{-27};\dfrac{-6\dfrac{1}{2}}{6}=\dfrac{-27}{29\dfrac{1}{4}};\dfrac{29\dfrac{1}{4}}{6}=\dfrac{-27}{-6\dfrac{1}{2}}\)
Bài 2:
a: =>x/4=1/8
hay x=1/2
b: \(\Leftrightarrow\dfrac{x}{-5}=\dfrac{11}{6}\)
hay x=-55/6
c: \(\Leftrightarrow\dfrac{-3.5}{x}=\dfrac{4.25}{8}\)
hay x=-112/17
lập tất cả các tỉ lệ thức có thể được tỉ lệ thức sau:\(\dfrac{-12}{3,2}=\dfrac{-30}{10,8}\)
+ \(\dfrac{-12}{-30}=\dfrac{3,2}{10,8}\)
+ \(\dfrac{10,8}{3,2}=\dfrac{-30}{-12}\)
+ \(\dfrac{10,8}{-30}=\dfrac{3,2}{-12}\)