Mathematics
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OpenStudy (anonymous):
A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container?
[Please explain this to me]
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OpenStudy (anonymous):
The total number of utensils is all of the utensils so, 21 + 27 = ?
OpenStudy (anonymous):
48
OpenStudy (anonymous):
Perfect, so you have 48 Utensils.
Now you have 21 spoons right?
So the ration of Spoons to total utensils, is 21:48
OpenStudy (skullpatrol):
The ratio of two numbers is their quotient.
OpenStudy (anonymous):
Thanks :D
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OpenStudy (anonymous):
Now 21:48 is not fully simplified
OpenStudy (anonymous):
They are both divisible by 3
OpenStudy (anonymous):
Uhh, How do you reduce a fraction?? Or just numbers in general?
OpenStudy (anonymous):
You divide each terms by a common factor, or by the greatest common factor.
OpenStudy (anonymous):
Now a common factor of 21 and 48 is 3
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OpenStudy (anonymous):
Wait so reduced it's 7 to 16?
OpenStudy (anonymous):
Correct!
OpenStudy (anonymous):
So your ratio is 7:16!
OpenStudy (anonymous):
Now 7 and 16 do not have a common factor other than 1, so your ratio is good!
7:16
OpenStudy (anonymous):
Yay! Thanks
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OpenStudy (skullpatrol):
$$\Huge \frac{21}{48}$$
OpenStudy (anonymous):
Np @Shaaan14
OpenStudy (anonymous):
:)