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OpenStudy (anonymous):
You have 3/4 of a pie leftover after your party. Each guest takes home 1/6 of the leftover pie. What fraction of the pie does each guest take home?
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OpenStudy (one098):
Okay, first make each fraction have the same denominator. Can you do that?
OpenStudy (one098):
\[\frac{ 3 }{ 4 }\times \frac{ 3 }{ 3 }\]
\[\frac{ 1 }{ 6 }\times \frac{ 2 }{ 2 }\]
OpenStudy (one098):
Once you do that, both fractions will have the same denominator.
OpenStudy (anonymous):
so 9/12 and 2/12
OpenStudy (one098):
Okay, right.
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OpenStudy (one098):
So now, subtract 9-2.
OpenStudy (anonymous):
7
OpenStudy (one098):
>_< Sorry, what you have to do is multiply both fractions.
\[\frac{ 3 }{ 4 }\times \frac{ 1 }{ 6 }\]What did you get?
OpenStudy (anonymous):
3/24
OpenStudy (one098):
Now simplify.
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OpenStudy (anonymous):
can you even simplify that
OpenStudy (one098):
Yes, of course. Can 3 go into 24?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
8 times
OpenStudy (one098):
Exactly, so if you do: \[\frac{ 3 }{ 24 }\div \frac{ 3 }{ 3 }=?\]
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OpenStudy (anonymous):
1/8
OpenStudy (one098):
Right! So that's your answer.
OpenStudy (anonymous):
ok thanks
OpenStudy (one098):
You're welcome!
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