Weight- to mole-fraction converter

Molar weight of the component 1 \(M_1\)

Molar weight of the component 2 \(M_2\)

Molar weight of the component 3 \(M_3\)

Molar weight of the component 3 \(M_4\)

weight fraction of component 1 \(x_1\)

weight fraction of component 2 \(x_2\)

weight fraction of component 3 \(x_3\)

weight fraction of component 3 \(x_4\)

mole fraction of component 1, \(\frac{x_1}{M_1\cdot \left(\frac{x_1}{M_1}+\frac{x_2}{M_2}+\frac{x_3}{M_3}+\frac{x_4}{M_4}\right)}\) \(y_1\)

mole fraction of component 2, \(\frac{x_2}{M_2\cdot \left(\frac{x_1}{M_1}+\frac{x_2}{M_2}+\frac{x_3}{M_3}+\frac{x_4}{M_4}\right)}\) \(y_2\)

mole fraction of component 3, \(\frac{x_3}{M_3\cdot \left(\frac{x_1}{M_1}+\frac{x_2}{M_2}+\frac{x_3}{M_3}+\frac{x_4}{M_4}\right)}\) \(y_3\)

mole fraction of component 4, \(\frac{x_4}{M_4\cdot \left(\frac{x_1}{M_1}+\frac{x_2}{M_2}+\frac{x_3}{M_3}+\frac{x_4}{M_4}\right)}\) \(y_4\)