Word Problem Help

Apr 2013
5
0
Florida
Troy has 3 1/3(mixed number) yards of speaker wire. He needs 1/6 yards of speaker wire to make one headphone cord extension. How many headphones chord extensions can he make.

Here is what I did:
-convert 3 1/3 into 10
-divide 1 by 6 which gives me 0.166666667(infinite 6 but rounded)
-divide 10 by 0.166666667 to find find answer
-my face when what I got wasn't in the answers

Answers:
f) 6
g) 11
h)16
i)20

Tell me,MHF, how do you find the answer?
 

Prove It

MHF Helper
Aug 2008
12,897
5,001
\(\displaystyle \displaystyle \begin{align*} 3\,\frac{1}{3} &= \frac{9}{3} + \frac{1}{3} \\ &= \frac{10}{3} \\ &= \frac{20}{6} \end{align*}\)

So how many sixths are there in twenty sixths? i.e. what is \(\displaystyle \displaystyle \begin{align*} \frac{20}{6} \div \frac{1}{6} \end{align*}\)?