Question

Simplify:

Answer 1

$\bf 6\left[\cfrac{4}{3}\left(14 \div \cfrac{1}{7} \right) \right]\div \cfrac{13}{10}\impliedby recall~\mathbb{PEMDAS} \\\\\\ 6\left[\cfrac{4}{3}\left(\cfrac{14}{1} \cdot \cfrac{7}{1} \right) \right]\div \cfrac{13}{10}\implies 6\left[\cfrac{4}{3}\left(98\right) \right]\div \cfrac{13}{10}\implies 6\left[\cfrac{392}{3} \right]\div \cfrac{13}{10} \\\\\\ \cfrac{6\cdot 392}{3}\cdot \cfrac{10}{13}\implies 784\cdot \cfrac{10}{13}\implies \cfrac{7840}{13}\implies 603\frac{1}{13}$