Find the product :

$2\dfrac{1}{25} \times \dfrac{5}{17}$

We have:

$\begin{array}{ll} \phantom{=} 2\dfrac{1}{25} \times \dfrac{5}{17} \\ = \dfrac{51}{25} \times \dfrac{5}{17} & \text{[Converting mixed fraction to improper fraction]} \\ = \dfrac{51}{5} \times \dfrac{1}{17} & \text{[Simplifying 5 and 25 ⇒ Divide by 5]} \\ = \dfrac{3}{5} \times \dfrac{1}{1} & \text{[Simplifying 51 and 17 ⇒ Divide by 17]} \\ = \dfrac{3 \times 1}{5 \times 1} & \\ = \dfrac{3}{5} \end{array}$

∴ The answer is $\dfrac{3}{5}$