Find the product :

$1\dfrac{1}{13} \times 7\dfrac{3}{7}$

We have:

$\begin{array}{ll} \phantom{=} 1\dfrac{1}{13} \times 7\dfrac{3}{7} \\ = \dfrac{14}{13} \times \dfrac{52}{7} & \text{[Converting mixed fraction to improper fraction]} \\ = \dfrac{2}{13} \times \dfrac{52}{1} & \text{[Simplifying 14 and 7 ⇒ Divide by 7]} \\ = \dfrac{2}{1} \times \dfrac{4}{1} & \text{[Simplifying 52 and 13 ⇒ Divide by 13]} \\ = \dfrac{2 \times 4}{1 \times 1} \\ = \dfrac{8}{1} \\ = 8 \end{array}$

∴ The answer is 8