Question

Sections of prefabricated fencing are each 4 1/3 feet long. how long are 6 1/2 sections placed end to end

Answer 1

we know that

$4\frac{1}{3}= \frac{(4*3+1)}{3} =\frac{13}{3}$

$6\frac{1}{2}= \frac{(6*2+1)}{2}=\frac{13}{2}$

To find how long are $6\frac{1}{2}$  sections placed end to end

Multiply the number of sections by the length of one section

so

$\frac{13}{2} *\frac{13}{3} =\frac{169}{6}\ ft$

$\frac{169}{6}\ ft =28\frac{1}{6}\ ft$

therefore

the answer is

$28\frac{1}{6} \ ft$

Answer 2

Each section is 4 1/3 feet long.
6 1/2 section will be 4 1/3 x 6 1/2 = 13/3 x 13/2 = 169/6 = 28 1/6 feet

Thus, 6 1/2 sections will be 28 1/6 feet long.