Question

To put up several tents for a camping trip, you need several pieces of rope each 6 2/3 feet long. If you have a rope that is 43 feet, how many pieces can you cut for the tents?

Answer 1

`\bf 43/ 6(2)/(3)\implies \cfrac{46}{6(2)/(3)}\implies \cfrac{(46)/(1)}{(6\cdot 3+2)/(3)}\implies \cfrac{(46)/(1)}{(20)/(3)} \implies \cfrac{46}{1}\cdot \cfrac{3}{20}\implies \cfrac{69}{10} \\\\\\ \boxed{6(9)/(10)}\qquad \qquad \cfrac{6\cdot 10+9}{10}\implies \cfrac{69}{10}`