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# simple math question

4 replies to this topic

### #1 RB_Kandy

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Posted 06 September 2013 - 09:34 PM

Forgive me for being an idiot, but is a 9:1 ratio 10% or 20%?

A friend keeps saying female to male crab ratio of 90:10, and I told him to shorten it to 9:1 since the zero's are redundant. But then I started thinking, if we mean to say that male crabs make up between 10% of the crab population, shouldn't it be written as "10:1 (female-male) ratio".

### #2 xXToffeeXx

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Posted 07 September 2013 - 04:03 AM

9:1 is 10% because 90:10 equals 100 in total and 10 of that is 10%. 100:10 would equal 110 and 10 of that is 9.09% (recurring).
Also zeros aren't redundant, you are just cancelling down to get the lowest equviant ratio possible. It's fine to leave it as 90:10 if you really want, but it's easier to work with as 9:1.

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### #3 RB_Kandy

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Posted 07 September 2013 - 09:04 AM

I just found an online ratio to percentage calculator.

It tells me:

9:1= 900%

1:9= 11.1%

1:10= 10%

### #4 xXToffeeXx

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Posted 07 September 2013 - 09:28 AM

I just found an online ratio to percentage calculator.

It tells me:

9:1= 900%

1:9= 11.1%

1:10= 10%

My bad, you are indeed correct on this (I was trying to do two different things which didn't work, and anyway I should have known better).

Anyway, if you want to know how to change a ratio into a percentage then you need to divide 1 by 9 to get 0.1 (recurring) and then times that by 100 to get 11.1% (recurring).

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### #5 Platypus

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Posted 07 September 2013 - 12:37 PM

if we mean to say that male crabs make up between 10% of the crab population, shouldn't it be written as "10:1 (female-male) ratio".

The seeming discrepancy occurs because the two expressions describe the relationship between two different things.

The 10% is with respect to the total crab population, the ratio is each category with respect to the other.

So 10% male population will result in a 1:9 ratio (male-female). Males are 10% of the total population, but 11.11% of the number of females (1:9 = 11.11%)

If it's stated the other way around, (9:1 female-male), females make up 90% of the total population, but number 900% compared to males (9:1 = 900%).

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