Understanding the relationship between ratios and fractions.

  • #1
logicgate
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TL;DR Summary
Got two questions. First, why ratios are considered fractions ?. Second, why multiplying any ratio no matter how many numbers are involved by a constant it stays the same?.
As I understand, a ratio is a comparison between two or more quantities. Ratios involve two or more numbers. Whereas a fraction is a single real number. Why are ratios and fractions the same when ratios involve two or more different numbers whereas fractions represent only ONE real number like for example the ratio 4 : 10 can be expressed as a single number 4/10 which is 0.4 . Also, how do you express ratios such as 2 : 3 : 5 as a single fraction ? Does it become 2/3/5 ? It doesn't make sense to me. Last question is why when we multiply every number in a ratio by a constant the ratio stays the same? For example the ratio a : b : c : d is the same as ax : bx : cx : dx.
 

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