Gọi 3 phần là a,b,c(0<a;b;c<314)
Áp dụng tc dtsbn:
\(\dfrac{a}{\dfrac{2}{3}}=\dfrac{b}{\dfrac{2}{5}}=\dfrac{c}{\dfrac{3}{7}}=\dfrac{a+b+c}{\dfrac{2}{3}+\dfrac{2}{5}+\dfrac{3}{7}}=\dfrac{314}{\dfrac{157}{105}}=210\\ \Leftrightarrow\left\{{}\begin{matrix}a=210\cdot\dfrac{2}{3}=140\\b=210\cdot\dfrac{2}{5}=84\\c=210\cdot\dfrac{3}{7}=90\end{matrix}\right.\)
Vậy ...