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Reciprocal of $$2\frac{3}{5}$$
$$2\frac{3}{5}$$
$$5\frac{3}{2}$$
$$\frac{5}{13}$$
$$3\frac{3}{5}$$
$$=2\frac{3}{5}$$
$$=\frac{13}{5}$$
Now taking the reciprocal
$$=\frac{1}{\frac{13}{5}}$$
$$={\frac{5}{13}}$$
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