Find the product :

$\dfrac{4}{17} \times 7\dfrac{1}{12}$

We have:

$\begin{array}{ll} \phantom{=} \dfrac{4}{17} \times 7\dfrac{1}{12} \\ = \dfrac{4}{17} \times \dfrac{85}{12} & \text{[Converting mixed fraction to improper fraction]} \\ = \dfrac{4}{1} \times \dfrac{5}{12} & \text{[Simplifying 85 and 17 ⇒ Divide by 17 ]} \\ = \dfrac{1}{1} \times \dfrac{5}{3} & \text{[Simplifying 4 and 12 ⇒ Divide by 4 ]} \\ = \dfrac{1 \times 5}{1 \times 3} \\ = \dfrac{5}{3} \end{array}$

∴ The answer is $\dfrac{5}{3}$