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You need to remember the steps that you need to perform if you want to divide two fractions.
`((2x)/(x+3))/((9y)/(x+5)) = ((2x)/(x+3))*((x+5)/(9y))`
Hence, division of fractions means multiplication of the fraction placed at numerator by the reciprocal of fraction placed at denominator.
Thus, considering the law of division of fractions, the identity is justified.
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