Simplify the rate of cans of soda compared to people.
So this ratio here says that we have 92 cans of soda for
every 28 people.
What we want to do is simplify this, and really just putting
this ratio, or this fraction, in simplest form.
So the best way to do that is just to figure out what is the
largest number, or the largest common factor, of both 92 and
28, and divide both of these numbers by that common factor.
So let's figure out what it is.
And to do that, let's just take the prime factorization
of 92, and then we'll do the prime factorization of 28.
So 92 is 2 times 46, which is 2 times 23.
And 23 is a prime number, so we're done.
92 is 2 times 2 times 23.
And if we did the prime factorization of 28, 28 is 2
times 14, which is 2 times 7.
So we can rewrite the 92 cans of soda as 2 times 2 times 23
cans of soda for every 2 times 2 times 7 people.
Now, both of these numbers have a 2 times 2 in it, or
they're both divisible by 4.
That is their greatest common factor.
So let's divide both the top number and the
bottom number by 4.
So if you divide the top number by 4, or if you divide
it by 2 times 2, it will cancel out right over there.
And then if you do the bottom number divided by 4, or 2
times 2, it will cancel out with that 2 times 2.
And we are left with 23 cans of soda for every 7 people, or
7 people for every 23 cans of soda.
And we're done!
We've simplified the rate of cans, or the ratio of cans, of
soda compared to people.
I guess they're considering this a rate, so maybe they're
saying how quickly do 7 people consume cans over some period,
or you can view it as a ratio.

簡化比數和比例 (英)

簡化比數和比例 (英) : 簡化比數和比例