# How do you use the distributive property to multiply (3 1 /17)*17?

Write $3 \frac{1}{17}$ as $\left(3 + \frac{1}{17}\right)$ and multiply both terms by 17
$\left(3 + \frac{1}{17}\right) \cdot 17 = \left(3 \cdot 17 + \frac{1}{17} \cdot 17\right) = 51 + 1 + 52$