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了解比例 (英): 了解比例
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- Is the proportion true or false that 3/12 or 3:12 is
- equal to 5/35 or 5:35?
- Now to figure this out, we just have to figure out
- whether these are equivalent fractions, and the easiest way
- to do that, is to put both of them in simplified form, and
- see if we get the same answer.
- So let's try with 3/12 first. So if we have 3/12, both the
- numerator and the denominator are divisible by 3.
- So let's divide by 3.
- So divide the numerator by 3, and let's divide the
- denominator by 3.
- We get 3 divided by 3 is 1.
- 12 divided by 3 is 4.
- So 3/12 is the same thing is 1/4.
- Now let's try do the same thing for 5/35.
- 5 over 35-- I'm leaving some space so we can divide-- well,
- these are both divisible by 5, so let's divide the numerator
- and the denominator by 5.
- So if we divide the numerator by 5 and the denominator by 5,
- the numerator, 5 divided by 5 is 1, and then 35
- divided by 5 is 7.
- So this thing is equivalent to saying that 1/4 is equal to
- 1/7, which is clearly not true.
- This is clearly not true, so the proportion is false.
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