# Supply the theorems or axioms justifying the given statements 2x/x+3 ÷ 9y/x+5 = 2x/x+3 * x+5/9y

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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.**