The product of two fractions is $15\dfrac{3}{4}$. If one of them is $4\dfrac{1}{2}$, find the other.

Given, the product of two fractions = $15\dfrac{3}{4}$

One of the fraction = $4\dfrac{1}{2}$

Let x be the other fraction.

$\Rightarrow x \times 4\dfrac{1}{2} = 15\dfrac{3}{4} \\[1em] \Rightarrow x = 15\dfrac{3}{4} ÷ 4\dfrac{1}{2}\\[1em] = \dfrac{63}{4} ÷ \dfrac{9}{2}\\[1em] = \dfrac{63}{4} \times \dfrac{2}{9}\\[1em] = \dfrac{63 \times 2}{4 \times 9}\\[1em] = \dfrac{126}{36}\\[1em] = \dfrac{7}{2}\\[1em] = 3\dfrac{1}{2}.$

Hence, the other fraction = $3\dfrac{1}{2}$.