I have been out on the web today and countless times I am told that a ratio is the same as a fraction and means the same as division.
Now folks this is pure unadulterated poppycock.
A ratio bears some relation to a set of fractions and division can be used to sort out ratio problems. However ratios, fractions and division are all conceptually different.
Any decent cook will tell us that or bookie or mechanic.
Take the simplest of problems. To mix some yucky orange cordial
How much concentrate should be used to get 20 litres of cordial?
Ratio 2:8
Total parts 10
Associated fractions: 2/10 and 8/10.
Answer 2/10 times 20. Which is 0.2 x 20 or 4 Litres of concentrate.
Or what ever way you want to calculate it 2/10 x 4 = 40/10 = 4L
Or 2:8 = 4:16 which will yield 20L of cordial
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