Simplify: 6( 4/3 \f ( 14 ÷ (1)/(7) ) ) ÷ (13)/(10) - I got 603 (1)/(12) , but i'm not completely sure it's correct..

Question

Simplify:

6(
`4/3 \f` ( 14 ÷
`(1)/(7)` ) ) ÷
`(13)/(10)`

-
I got 603
`(1)/(12)` , but i'm not completely sure it's correct..

Answer 1

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