Verified answer

[tex] \frac{3}{7} x = \frac{1}{2} \\ x = \frac{1}{2} \div \frac{3}{7} \\ x = \frac{1 \times 7}{2 \times 3} \\ x = \frac{7}{6} \\ x = 1 \frac{1}{6} [/tex]