$$x \div 3 \times \frac{ 2 }{ 3 } = \frac{ 5 }{ 11 }$$
$x = \frac{45}{22} = 2\frac{1}{22} \approx 2.045454545$
$$\frac{x}{3}=\frac{5}{11}\times \frac{3}{2}$$
$$\frac{x}{3}=\frac{5\times 3}{11\times 2}$$
$$\frac{x}{3}=\frac{15}{22}$$
$$x=\frac{15}{22}\times 3$$
$$x=\frac{15\times 3}{22}$$
$$x=\frac{45}{22}$$
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