2/5.x:7/3.1/8=25/15
2/5.x:7/24=5/3
2/5.x=5/3.7/24
2/5.x=6/34
x=6/34:2/5
x=15/34
\(\frac{2}{5}x:\frac{7}{3}.\frac{1}{8}=\frac{25}{15}\Leftrightarrow\frac{2}{5}x:\frac{7}{3}.\frac{1}{8}=\frac{5}{3}\Leftrightarrow\frac{2}{5}x:\frac{7}{3}=\frac{5}{3}:\frac{1}{8}\Leftrightarrow\frac{2}{5}x:\frac{7}{3}=\frac{5}{3}.8\Leftrightarrow\frac{2}{5}x:\frac{7}{3}=\frac{40}{3}\)
\(\Leftrightarrow\frac{2}{5}x=\frac{40}{3}.\frac{7}{3}\Leftrightarrow\frac{2}{5}x=\frac{280}{3}\Leftrightarrow x=\frac{280}{3}:\frac{2}{5}\Leftrightarrow x=\frac{280}{3}.\frac{5}{2}\Leftrightarrow x=\frac{700}{3}\)
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