Question

Sections of pre-fabricated fencing are each 4 1/3feet long how long are 6 1/2 sections placed end to end

Answer 1

First off, let's convert the mixed fractions to "improper fractions".

6 and 1/2 sections, each of 4 and 1/3 feet? is just their product.

$\bf \stackrel{mixed}{4\frac{1}{3}}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}} \\\\\\ \stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}}\\\\ -------------------------------\\\\ \cfrac{13}{3}\cdot \cfrac{13}{2}\implies \cfrac{13\cdot 13}{3\cdot 2}\implies \cfrac{169}{6}\implies 28\frac{1}{6}$