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Ratios What is the ratio of 1/25 then reduce to lowest terms. Also what is the ratio of 2/100 then reduce to the lowest term. Thank you.

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1/25 IS the ratio of 1 to 25. There is not much you can say about it.
Can it be reduced to simpler terms? No! because there no factor common to the numerator (1) and the denominator (25) which you can simplify.
So 1/25 is in its reduced form.

Case of the ratio 2/100
It is clear that we can write the numerator as 1*2. To hope to reduce the ratio to simpler terms we must be able to find a factor that is common to the numerator and the denominator.

Although 100 =1*100=2*50=4*25=4*5*5 it is clear that the only factors common to 2 and 100 are 1, and 2.
To take 1 amounts to doing nothing, but if we take 2 we can write
2/100= (2*1)/(2*50)
Simplifying by 2 (the two 2 cancel each other) we get
2/100=1/50
That is the reduced form.

Posted on Jun 17, 2010

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