Can every ratio be written as the ratio of some number to 1?Why or why not?
2006-10-31 06:39:02 · 6 answers · asked by Pammie 3 in Science & Mathematics ➔ Mathematics
thanx for everyone who helped....
2006-10-31 07:08:53 · update #1
Yes, every ratio can be written as some number in relation to one. Since you did not indicate or specify the nature of the number of the numerator, then yes. For example, just in the previous response to you, it can be 1.5: 1 and with respect to the one posed by another in the case of 2: 3, it is wrong to say an approximation to 1 because the ratio can be expressed as a fraction in the numerator as (2/3) : 1. It can also be an irrational numerator like square root of 2 : 1. So, there.
It is a different story if you insist in just having integral ratios or ratios with whole numbers only. Note that ratio is just an expression with a numerator and a denominator.
2006-10-31 06:55:07 · answer #1 · answered by Aldo 5 · 2⤊ 0⤋
Think of a ratio 2:3. This can only be written as a ratio to 1 by writing 0.66666666666666666666666666666666666666666666666666666666666666666666666666666.. :1, but it's still an approximation, so I guess the answer is "No".
2006-10-31 14:44:48 · answer #2 · answered by JJ 7 · 1⤊ 0⤋
not in whole numbers it cant, if you have a ratio of 3:2 then the only way to get it to a relationship to 1 is to say 1.5:1 essentually it is another way of showing a fraction. Ive never seen it written in desmil for before though
2006-10-31 14:45:48 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Only if the ratio can be expressed as an integer. I would not suggest trying to use decimals, which will unfortunately be where most ratios will fall.
2006-10-31 14:51:09 · answer #4 · answered by countryboy_ga1014 2 · 0⤊ 0⤋
Only if the ratio is rational.
sqrt(2) is not rational and so cannot be written that way.
2006-10-31 14:49:37 · answer #5 · answered by modulo_function 7 · 0⤊ 0⤋
Yes if you use decimals, no if you use whole numbers.
2006-10-31 14:41:57 · answer #6 · answered by olympikdude 4 · 0⤊ 0⤋