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5/4-yx5/6=-1/12
5/4-y = -1/12:5/6
5/4-y = -1/10
y = 5/4-(-1/10)
y = 27/20
\(\frac{5}{4}-y.\frac{5}{6}=\frac{1}{4}-\frac{1}{3}\)
\(\Rightarrow\frac{5}{4}-y.\frac{5}{6}=-\frac{1}{12}\)
\(\Rightarrow y.\frac{5}{6}=\frac{5}{4}-\left(-\frac{1}{12}\right)\)
\(\Rightarrow y.\frac{5}{6}=\frac{5}{4}+\frac{1}{12}\)
\(\Rightarrow y.\frac{5}{6}=\frac{4}{3}\)
\(\Rightarrow y=\frac{4}{3}:\frac{5}{6}\)
\(\Rightarrow y=\frac{8}{5}\)
Vậy \(y=\frac{8}{5}.\)
Bài 1:
câu a: 4\(\dfrac{4}{9}\) : 2\(\dfrac{2}{3}\) + 3\(\dfrac{1}{6}\)
= \(\dfrac{40}{9}\) : \(\dfrac{8}{3}\) + \(\dfrac{19}{6}\)
= \(\dfrac{5}{3}\) + \(\dfrac{19}{6}\)
= \(\dfrac{10}{6}\) + \(\dfrac{19}{6}\)
= \(\dfrac{29}{6}\)
b, (15,25 + 3,75) \(\times\) 4 + ( 20,71 + 5,29)\(\times\) 5
= 19 \(\times\) 4 + 26 \(\times\) 5
= 76 + 130
= 206
c, \(\dfrac{4}{5}\) \(\times\) \(\dfrac{1}{2}\) + \(\dfrac{4}{5}\) \(\times\) \(\dfrac{1}{3}\) - \(\dfrac{4}{5}\) \(\times\) \(\dfrac{1}{4}\)
= \(\dfrac{2}{5}\) + \(\dfrac{4}{15}\) - \(\dfrac{1}{5}\)
= \(\dfrac{6}{15}\) + \(\dfrac{4}{15}\) - \(\dfrac{3}{15}\)
= \(\dfrac{7}{15}\)
d, 1\(\dfrac{5}{7}\) + 7\(\dfrac{3}{6}\) + 2\(\dfrac{2}{7}\) - 4\(\dfrac{3}{6}\)
= (1 + 2 + \(\dfrac{5}{7}\) + \(\dfrac{2}{7}\)) + ( 7 + \(\dfrac{3}{6}\) - 4 - \(\dfrac{3}{6}\))
= 3 + 1 + 3
= 7
\(4-x\times\frac{1}{2}=\frac{1}{6}\)
\(x\times\frac{1}{2}=4-\frac{1}{6}\)
\(x\times\frac{1}{2}=\frac{23}{6}\)
\(x=\frac{23}{6}:\frac{1}{2}\)
\(x=\frac{23}{3}\)
\(\frac{1}{3}+x=\frac{3}{2}\times3\)
\(\frac{1}{3}+x=\frac{9}{2}\)
\(x=\frac{9}{2}-\frac{1}{3}\)
\(x=\frac{25}{6}\)
Mình không chắc lắm nhưng đáp án của 2 câu rên là 10/3 và 25/6 thì phải! Đúng rồi thì thôi còn sai thì mong mọi nười chỉ cho nha!
\(\frac{1}{6}:\left(x-\frac{1}{3}\right)-\frac{5}{6}=\frac{5}{9}\times2\frac{8}{6}\)
\(\Leftrightarrow\frac{1}{6}:\left(\frac{3x-1}{3}\right)=\frac{5}{6}+\frac{5}{9}\times2\frac{4}{3}\)
\(\Leftrightarrow\frac{1}{6}\times\frac{3}{3x-1}=\frac{5}{6}+\frac{5}{9}\times\frac{10}{3}\)
\(\Leftrightarrow\frac{1}{2}\times\frac{1}{3x-1}=\frac{45+100}{54}\)
\(\Leftrightarrow\frac{1}{3x-1}=\frac{2\cdot145}{54}=\frac{145}{27}\)
\(\Leftrightarrow3x-1=\frac{27}{145}\Leftrightarrow3x=\frac{27}{145}+1=\frac{172}{145}\)
\(\Leftrightarrow x=\frac{172}{435}\).
\(\dfrac{3}{5}\times\dfrac{4}{7}\times1\dfrac{1}{2}\)
\(=\dfrac{3}{5}\times\dfrac{4}{7}\times\dfrac{3}{2}\)
\(=\dfrac{3\times4\times3}{5\times7\times2}\)
\(=\dfrac{3\times2\times3}{5\times7}\)
\(=\dfrac{18}{35}\)
\(\frac{3}{4}+\frac{1}{3}\times a=\frac{7}{6}\)
\(\Leftrightarrow\frac{1}{3}\times a=\frac{7}{6}-\frac{3}{4}=\frac{5}{12}\)
\(\Leftrightarrow a=\frac{5}{12}\div\frac{1}{3}=\frac{5}{4}\).
\(a-\frac{1}{4}=\frac{5}{4}-\frac{1}{4}=1\)
B = \(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x........x\left(1-\frac{1}{2003}\right)x\left(1-\frac{1}{2004}\right)\)
B = \(\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x.........x\frac{2002}{2003}x\frac{2003}{2004}\)
=> B = \(\frac{1}{2004}\)
\(B=\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{2003}\right)\times\left(1-\frac{1}{2004}\right)\)
\(B=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{2002}{2003}\times\frac{2003}{2004}\)
\(B=\frac{1\times2\times3\times...\times2002\times2003}{2\times3\times4\times...\times2003\times2004}\)
\(\Rightarrow B=\frac{1}{2004}\)
a, 7\(\dfrac{3}{5}\) : \(x\) = 5\(\dfrac{4}{15}\) - 1\(\dfrac{1}{6}\)
\(\dfrac{38}{5}\) : \(x\) = \(\dfrac{79}{15}\) - \(\dfrac{7}{6}\)
\(x\) = \(\dfrac{41}{10}\)
\(x\) = \(\dfrac{38}{5}\) : \(\dfrac{41}{10}\)
\(x\) = \(\dfrac{76}{41}\)
b, \(x\) \(\times\) 2\(\dfrac{2}{3}\) = 3\(\dfrac{4}{8}\) + 6\(\dfrac{5}{12}\)
\(x\) \(\times\) \(\dfrac{8}{3}\) = \(\dfrac{7}{2}\) + \(\dfrac{77}{12}\)
\(x\) \(\times\) \(\dfrac{8}{3}\) = \(\dfrac{119}{12}\)
\(x\) = \(\dfrac{119}{12}\)
\(x\) = \(\dfrac{119}{12}\): \(\dfrac{8}{3}\)
\(x\) = \(\dfrac{119}{32}\)
\(\frac{1}{5}.x=\frac{2}{3}-\frac{4}{6}\)
\(\frac{1}{5}x=\frac{4}{6}-\frac{4}{6}=0\)
\(x=0\)(dpcm)
\(\frac{1}{5}\times x=\frac{2}{3}-\frac{4}{6}\)
\(\frac{1}{5}\times x=\frac{2}{3}-\frac{2}{3}\)
\(\frac{1}{5}\times x=0\)
\(x=0\)
Đáp số: \(x=0\)