Ratio Definition and 1000 Threads

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.
A ratio may be specified either by giving both constituting numbers, written as "a to b" or "a∶b", or by giving just the value of their quotient a/b. Equal quotients correspond to equal ratios.
Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this fraction. Ratios of counts, given by (non-zero) natural numbers, are rational numbers, and may sometimes be natural numbers. When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of two quantities that are measured with different units is called a rate.

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  1. lfdahl

    MHB Calculating Ratio of Determinants for $a,b$ Real Coefficients

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  2. T

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  3. JoeMarsh2017

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  4. V

    Determine the ratio of the charge to the mass

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  5. engnrshyckh

    I want to calculate mark space ratio: f=25000Hz,T=4us

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  6. A

    Find the ratio of two line segments in a triangle

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  7. M

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  8. SonnetsAndMath

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  9. ORF

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  10. Hiero

    B Poisson's ratio, steel rod for example

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  11. F

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  12. A

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  13. A

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  14. S

    MHB Solve Ratio Problem: Jackson's Votes in Mayor Election Explained

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  15. David K

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  16. J

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  17. B

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  18. G

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  19. K

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  20. Albert1

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  21. E

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  22. parshyaa

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  23. A

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  24. E

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  26. D

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  27. E

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  28. MaxKang

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  29. T

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  30. D

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  31. G

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  32. asseya

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  33. B

    I Is dy/dx Truly Not a Ratio Even When Defined via Limits?

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  34. W

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  35. jlmccart03

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  36. W

    I Exact expression for the tensor-to-scalar ratio

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  37. S

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  38. K

    MHB What Is the Ratio of Area to Perimeter for a Rug with Length 9w?

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  39. I

    I Experimental Shear Modulus and Poisson Ratio

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  40. W

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  41. Arman777

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  42. Biker

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  43. A

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  44. H

    B Phi Ratio in Physics | G Factor Calculation

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  45. G

    I Ratio between spontaneous/stimulated emission

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  46. saybrook1

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  47. Aleph_null

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  48. DaTario

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  49. T

    A Improving intuition on applying the likelihood ratio test

    I am trying to better understand likelihood ratio test and have found a few helpful resources that explicitly solve problems, but was just curious if you have any more to recommend. Links that perhaps work out full problems and also nicely explain the theory. Similar links you have found...
  50. H

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