Ratio Statement

A Ratio Statement is a mathematical statement that expresses a ratio.

• Context:
  • It can expressed as Fraction A/B, where A is numerator and B is the denominator.
  • It can expressed as A:B, this how many times A contains B.
• Example(s):
  • 2/4
  • [math]\displaystyle{ \frac{a}{128} }[/math]
  • c/d
• Counter-Example(s):
  • any Ratio Value, such as: 1.111.
  • any Proportionality Equation, such as: 3'/4 = a'/128.
• See: Rate, Fraction.

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References

2008

• Dept. of Eduction, University of Irvine. (2009). “CSET Math Glossary."
  • ratio. A comparison expressed as a fraction. For example, there is a ratio of three boys to two girls in a class (3/2, 3:2).

2003

• http://mathforum.org/library/drmath/view/63884.html
  • Definition of Ratio
  • This is as much an English language question as a math question, and that makes it very confusing. Words like this are not used as consistently as you might expect, even among math teachers or mathematicians.
  • Merriam-Webster (m-w.com) says
  • ratio 1
    • a : the indicated quotient of two mathematical expressions
    • b : the relationship in quantity, amount, or size between two or more things : PROPORTION
  • proportion.
    • 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : RATIO
    • 4 : SIZE, DIMENSION
    • 5 : a statement of equality between two ratios in which the first of the four terms divided by the second equals the third divided by the fourth (as in 4/2=10/5)

2000

• http://www.math.com/school/subject1/lessons/S1U2L3GL.html
  • A rate is a ratio that compares two different kinds of numbers, such as miles per hour or dollars per pound. A unit rate compares a quantity to its unit of measure. A unit price is a rate comparing the price of an item to its unit of measure. The rate "miles per hour" gives distance traveled per unit of time. Problems using this type of rate can be solved using a proportion, or a formula.
• Math.com. (2000). “Glossary." http://www.math.com/school/glossary/defs/ratio.html
  • QUOTE: ratio: A pair of numbers that compares different types of units.

1997

• http://www.mathleague.com/help/ratio/ratio.htm
  • QUOTE: A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon (:). Suppose we want to write the ratio of 8 and 12. We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.

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