Example of Ratio:
There are 40 Red counters and 45 blue counters what is the ratio?
First: You set out the 2 numbers out so they look like this - 40,45
Second: you divide the 2 numbers by the same number say 5 which gives you the answer 8,9 which is the answer in its simplest form
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Ratios or fractions can be used to present proportions.
Proportions are used in real life to determine prices of things.
how are emeralds use in everyday life
Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.
Geometry is used in my everyday life because I see it everyday. Everything I see is practically geometry. There are posters on my classroom wall, there are desks and chairs, tables, and a big nice white board. I guess this is really how I used geometry in my everyday life.