$$x \div \frac{ 1 }{ 9 } =3 \times \frac{ 3 }{ 14 }$$
$x=\frac{1}{14}\approx 0.071428571$
$$\frac{x}{\frac{1}{9}}=\frac{3\times 3}{14}$$
$$\frac{x}{\frac{1}{9}}=\frac{9}{14}$$
$$x=\frac{9}{14}\times \frac{1}{9}$$
$$x=\frac{9\times 1}{14\times 9}$$
$$x=\frac{1}{14}$$
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