vì sao 5/2 x 1/3 : 5/4 = 2/3 (chi tiết)
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a, \(x=\left(\dfrac{3}{5}+\dfrac{2}{5}\right):\dfrac{4}{5}=\dfrac{5}{4}\)
b, \(x=\left(-\dfrac{1}{2}-\dfrac{2}{5}\right).\dfrac{3}{4}=-\dfrac{27}{40}\)
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d) \(\frac{x}{-9}=\left(\frac{2}{6}\right)^2\)
\(\Rightarrow\frac{x}{-9}=\frac{2}{6}.\frac{2}{6}\)
\(\Rightarrow\frac{x}{-9}=\frac{4}{36}\)
\(\Rightarrow\frac{x}{-9}=\frac{1}{9}\)
\(\Rightarrow\frac{-x}{9}=\frac{1}{9}\)
\(\Rightarrow-x=1\)
\(\Rightarrow x=1\)
e) \(\frac{a}{b}+\frac{3}{6}=0\)
\(\Rightarrow\frac{a}{b}=0-\frac{3}{6}\)
\(\Rightarrow\frac{a}{b}=0-\frac{1}{2}\)
\(\Rightarrow\frac{a}{b}=\frac{-1}{2}\)
\(\Rightarrow a=-1;b=2\)
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\(x:\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{5}{3}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{9}{12}+\dfrac{20}{12}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{29}{12}\\ \Rightarrow x=\dfrac{29}{12}\times\dfrac{1}{2}\\ \Rightarrow x=\dfrac{29}{24}\)
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a) \(\dfrac{2}{9}+\dfrac{3}{5}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{3}{45}=\dfrac{34}{45}\)
b) \(\dfrac{5}{12}\times\dfrac{4}{5}\div4=\dfrac{1}{3}\div4=\dfrac{1}{12}\)
c) \(\dfrac{8}{9}-\dfrac{4}{15}\div\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
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\(\dfrac{4}{5}\times\dfrac{5}{8}=\dfrac{20}{40}=\dfrac{1}{2}\)
\(\dfrac{7}{15}+\dfrac{4}{5}=\dfrac{7}{15}+\dfrac{12}{15}=\dfrac{19}{15}\)
\(\dfrac{2}{3}-\dfrac{3}{8}=\dfrac{16}{24}-\dfrac{9}{24}=\dfrac{7}{24}\)
\(\dfrac{1}{2}\div\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{2}=\dfrac{5}{4}\)
Lời giải:
$\frac{5}{2}\times \frac{1}{3}:\frac{5}{4}=\frac{5}{2}\times \frac{1}{3}\times \frac{4}{5}$
$=\frac{5\times 1\times 4}{2\times 3\times 5}=\frac{1\times 4}{2\times 3}=\frac{2\times 2}{2\times 3}=\frac{2}{3}$