What is the perimeter of the figure?
60 5/6 + 54 1/3 + 56 1/6 + 59 1/3
A. 229 4/9 ft
B. 229 2/3 ft
C. 230 2/3 ft
D. 231 ft
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OpenStudy (anonymous):
@Plasmataco
jimthompson5910 (jim_thompson5910):
this is the problem right?
\[\Large 60 \frac{5}{6}+54 \frac{1}{3}+56 \frac{1}{6}+59 \frac{1}{3}\]
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
so notice how all of the fractions have either 3 or 6 in the denominator
jimthompson5910 (jim_thompson5910):
the first step is to get all of the denominators the same
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jimthompson5910 (jim_thompson5910):
get all of the denominators equal to 6
jimthompson5910 (jim_thompson5910):
how would you do that to 1/3 ?
OpenStudy (anonymous):
|dw:1434680834694:dw|
jimthompson5910 (jim_thompson5910):
very good
jimthompson5910 (jim_thompson5910):
so we can say...
\[\Large 60 \frac{5}{6}+54 \frac{1}{3}+56 \frac{1}{6}+59 \frac{1}{3}\]
\[\Large 60 +\frac{5}{6}+54 +\frac{1}{3}+56 +\frac{1}{6}+59 +\frac{1}{3}\]
\[\Large 60 +\frac{5}{6}+54 +\frac{2}{6}+56 +\frac{1}{6}+59 +\frac{2}{6}\]
do you see how to finish up?
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OpenStudy (anonymous):
Not sure
jimthompson5910 (jim_thompson5910):
you can add up the whole parts to get
60+54+56+59 = 229
jimthompson5910 (jim_thompson5910):
what do you get when you add up the fractional parts?
OpenStudy (anonymous):
Oh i get it thanks for the help
OpenStudy (anonymous):
So the answer should be B
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