$$\frac { 2 x } { 3 y } \times \frac { 6 x } { 13 y ^ { 2 } } \times \frac { 26 y } { 9 x }$$
$\frac{8x}{9y^{2}}$
$$\frac{2x\times 6x}{3y\times 13y^{2}}\times \frac{26y}{9x}$$
$$\frac{2\times 2xx}{13yy^{2}}\times \frac{26y}{9x}$$
$$\frac{2\times 2xx\times 26y}{13yy^{2}\times 9x}$$
$$\frac{2\times 2\times 2x}{9y^{2}}$$
$$\frac{4\times 2x}{9y^{2}}$$
$$\frac{8x}{9y^{2}}$$
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$\frac{8}{9y^{2}}$