1+2+8+1-3+24
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\(\left(\dfrac{1}{2}+\dfrac{1}{3}\right)\cdot\dfrac{8}{3}+\dfrac{1}{24}\)
\(=\dfrac{5}{6}\cdot\dfrac{8}{3}+\dfrac{1}{24}\)
\(=\dfrac{40}{48}+\dfrac{2}{24}\)
\(=\dfrac{42}{48}=\dfrac{7}{8}\)
\(\dfrac{24}{x}:\dfrac{8}{3}=\dfrac{3}{5}\)
\(\dfrac{24}{x}=\dfrac{3}{5}.\dfrac{8}{3}\)
\(\dfrac{24}{x}=\dfrac{8}{5}\)
\(\dfrac{24}{x}=\dfrac{24}{15}\)
=>x=5
Vậy x=5
\(x+3\dfrac{1}{2}+x=24\dfrac{1}{4}\)
\(\left(x+x\right)+3\dfrac{1}{2}=24\dfrac{1}{4}\)
\(x.2+\dfrac{7}{2}=\dfrac{97}{4}\)
\(x.2=\dfrac{97}{4}-\dfrac{7}{2}\)
\(x.2=\dfrac{97}{4}-\dfrac{14}{4}\)
\(x.2=\dfrac{83}{4}\)
\(x=\dfrac{83}{4}:2\)
\(x=\dfrac{83}{4}.\dfrac{1}{2}\)
\(x=\dfrac{83}{8}\)
\(x=10\dfrac{3}{8}\)
a) \(\frac{24}{x}:\frac{8}{3}=\frac{3}{5}\) \(\frac{24}{x}=\frac{3}{5}.\frac{8}{3}\) \(\frac{24}{x}=\frac{8}{5}\) \(x=24.5:8\) \(x=15\)
b) Đề bài sai rồi
\(1\frac{1}{30}:\left(24\frac{1}{6}-24\frac{1}{5}\right)-\frac{1\frac{1}{2}-\frac{3}{4}}{4x-\frac{1}{2}}=\left(-1\frac{1}{15}\right):\left(8\frac{1}{5}-8\frac{1}{3}\right)\)
\(\Rightarrow\frac{31}{30}:\left(\frac{145}{6}-\frac{121}{5}\right)-\frac{\frac{3}{2}-\frac{3}{4}}{4x-\frac{1}{2}}=\left(\frac{-16}{15}\right):\left(\frac{41}{5}-\frac{25}{3}\right)\)
\(\Rightarrow\frac{31}{30}:\left(\frac{725}{30}-\frac{726}{30}\right)-\frac{\frac{6}{4}-\frac{3}{4}}{4x-\frac{1}{2}}=\left(\frac{-16}{15}\right):\left(\frac{123}{15}-\frac{125}{15}\right)\)
\(\Rightarrow\frac{31}{30}:\frac{-1}{30}-\frac{\frac{3}{4}}{4x-\frac{1}{2}}=\frac{-16}{15}:\frac{-2}{15}\)
\(\Rightarrow\frac{31}{30}.\frac{30}{-1}-\frac{3}{4}:\left(4x-\frac{1}{2}\right)=\frac{-16}{15}.\frac{15}{-2}\)
\(\Rightarrow\left(-31\right)-\frac{3}{4}:\left(4x-\frac{1}{2}\right)=8\)
\(\Rightarrow\frac{3}{4}:\left(4x-\frac{1}{2}\right)=\left(-31\right)-8\)
\(\Rightarrow\frac{3}{4}:\left(4x-\frac{1}{2}\right)=\left(-39\right)\)
\(\Rightarrow4x-\frac{1}{2}=\frac{3}{4}:\left(-39\right)\)
\(\Rightarrow4x-\frac{1}{2}=\frac{3}{4}.\frac{-1}{39}\)
\(\Rightarrow4x-\frac{1}{2}=\frac{-1}{52}\)
\(\Rightarrow4x=\frac{-1}{52}+\frac{1}{2}\)
\(\Rightarrow4x=\frac{-1}{52}+\frac{26}{52}\)
\(\Rightarrow4x=\frac{25}{52}\)
\(\Rightarrow x=\frac{25}{52}:4\)
\(\Rightarrow x=\frac{25}{52}.\frac{1}{4}\)
\(\Rightarrow x=\frac{25}{208}\)
Vậy \(x=\frac{25}{208}\)
Chúc bn học tốt
TL
33
TK cho mình
HT
1 + 2 + 8 + 1 - 3 + 24 = 33 :(