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Mathematics 10 Online
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]

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

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

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

OpenStudy (skullpatrol):

$$\Huge \frac{21}{48}$$

OpenStudy (anonymous):

Np @Shaaan14

OpenStudy (anonymous):

:)

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