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Bài 1:
a, Ta có:
\(\dfrac{-8}{15}=-\dfrac{5}{18}+-\dfrac{1}{6}\)
b, Ta có:
\(-\dfrac{8}{15}=\dfrac{11}{15}-\dfrac{19}{15}\)
Bài 2:
a, \(\dfrac{11}{13}-\left(\dfrac{5}{12}-x\right)=-\left(\dfrac{15}{18}-\dfrac{11}{13}\right)\)
\(\Rightarrow\dfrac{11}{13}-\dfrac{5}{12}+x=-\dfrac{15}{18}+\dfrac{11}{13}\)
\(\Rightarrow x=-\dfrac{15}{18}+\dfrac{11}{13}+\dfrac{5}{12}-\dfrac{11}{13}\)
\(\Rightarrow x=-\dfrac{15}{8}+\dfrac{5}{12}=-\dfrac{35}{24}\)
b, \(2x-3=x+\dfrac{1}{2}\)
\(\Rightarrow2x-x=\dfrac{1}{2}+3\Rightarrow x=\dfrac{7}{2}\)
Chúc bạn học tốt!!!
a: \(\dfrac{-11}{81}=\dfrac{1}{27}\cdot\dfrac{-11}{3}\)
b: \(\dfrac{-11}{81}=\dfrac{1}{27}:\dfrac{3}{-11}\)
a) Khi a = -2 thì x = (-2 + 5)/(-12) = 3/(-12) = -1/4
Vậy x là số hữu tỉ âm
b) Khi a = -9 thì x = (-9 + 5)/(-12) = (-4)/(-12) = 1/3
Vậy x là số hữu tỉ dương
c) Để x = 0 thì a + 5 = 0
a = -5
d) Khi a = -37 thì
x = (-37 + 5)/(-12)
= (-32)/(-12)
= 8/3 > 0
Mà 0 > -1,8
Vậy x > -1,8 khi a = -37
a)\(\dfrac{-10}{11}.\dfrac{8}{9}+\dfrac{7}{18}.\dfrac{10}{11}\)
=\(\dfrac{10}{11}.\dfrac{-8}{9}+\dfrac{7}{18}.\dfrac{10}{11}\)
=\(\dfrac{10}{11}(\dfrac{-8}{9}+\dfrac{7}{18})\)
=\(\dfrac{10}{11}.\dfrac{-1}{2}\)
=\(\dfrac{-5}{11}\)
b;
B = \(\dfrac{3}{14}\) : \(\dfrac{1}{28}\) - \(\dfrac{13}{21}\): \(\dfrac{1}{28}\) + \(\dfrac{29}{42}\) : \(\dfrac{1}{28}\) - 8
B = (\(\dfrac{3}{14}\) - \(\dfrac{13}{21}\) + \(\dfrac{29}{42}\)) - 8
B = (\(\dfrac{9}{42}\) - \(\dfrac{26}{42}\) + \(\dfrac{29}{42}\)) - 8
B = (\(\dfrac{-17}{42}\) + \(\dfrac{29}{42}\)) - 8
B = \(\dfrac{2}{7}\) - 8
B = \(\dfrac{2}{7}-\dfrac{56}{7}\)
B = - \(\dfrac{54}{7}\)
2:
a: x=2,4-0,4=2
b: =>2x=-1,5+0,8=-0,7
=>x=-0,35
c: =>x-16=-15
=>x=1
a) \(\dfrac{2}{5}=\dfrac{1}{5}\cdot\dfrac{2}{1}\)
\(\dfrac{15}{12}=\dfrac{5}{4}=\dfrac{5}{2}\cdot\dfrac{1}{2}\)
\(\dfrac{5}{-12}=\dfrac{-5}{12}=\dfrac{-5}{3}\cdot\dfrac{1}{4}\)
\(\dfrac{-3}{-4}=\dfrac{3}{4}=\dfrac{3}{2}\cdot\dfrac{1}{2}\)
a: Để x là số dương thì 20m+11<0
hay \(m< -\dfrac{11}{20}\)
b: Để x là số âm thì 20m+11>0
hay \(m>-\dfrac{11}{20}\)
Bài 2:
a: =>11/13-5/42+x=15/18+11/13
=>x-5/42=15/18
=>x=5/6+5/42=35/42+5/42=40/42=20/21
b: 2x-3=x+1/2
=>2x-x=3+1/2
=>x=7/2