Q: Is a ratio a relationship between two numbers indicating how many times the first number contains the second? ¶
Q: Is a ratio the smallest possible integers? ¶
Q: Are ratios equal when the quotients of the terms are equal? ¶
A: Yes, and but Euclid did not accept the existence of the quotients of incommensurate, so such a definition would have been meaningless to him.
Q: Is a ratio often used instead for this more general notion as well? ¶
Q: Is a ratio a dimensionless number? ¶
Q: Is a ratio as the limiting value of the ratio of two successive Fibonacci numbers: even though the n-th such ratio is the ratio of two integers and hence is rational? ¶
A: Yes, and the limit of the sequence of these ratios as n goes to infinity is the irrational golden ratio.
Q: Are ratios equal when they behave identically with respect to being less than? ¶
A: Yes, and equal to, or greater than any rational number.
Q: Is a ratio proportional or in proportion? ¶
Q: Is a ratio in a general way? ¶
Q: Is a ratio written "a to b" or a:b? ¶
A: Yes, and or sometimes expressed arithmetically as a quotient of the two.
Q: Are ratios sometimes used with three or more terms? ¶
Q: Are ratios usually expressed as weight/volume fractions? ¶