In mathematics, a **ratio** is a relationship between two numbers of the same kind (*e.g.*, objects, persons, students, spoonfuls, units of whatever identical dimension), usually expressed as *"a* to *b"* or a:b, sometimes expressed arithmetically as a dimensionless quotient of the two that explicitly indicates how many times the first number contains the second (not necessarily an integer).

In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. For example, supposing one has 8 oranges and 6 lemons in a bowl of fruit, the ratio of oranges to lemons would be 4:3 (which is equivalent to 8:6) and the ratio of lemons to oranges would be would be 3:4. Additionally, the ratio of oranges to the total amount of fruit is 4:7 (equivalent to 8:14). The 4:7 ratio can be further converted to a fraction of 4/7 to represent how much of the fruit is an orange.

Read more about Ratio: Notation and Terminology, History and Etymology, Examples, Number of Terms, Proportions, Reduction, Odds, Different Units

### Famous quotes containing the word ratio:

“A magazine or a newspaper is a shop. Each is an experiment and represents a new focus, a new *ratio* between commerce and intellect.”

—John Jay Chapman (1862–1933)

“Personal rights, universally the same, demand a government framed on the *ratio* of the census: property demands a government framed on the *ratio* of owners and of owning.”

—Ralph Waldo Emerson (1803–1882)

“People are lucky and unlucky not according to what they get absolutely, but according to the *ratio* between what they get and what they have been led to expect.”

—Samuel Butler (1835–1902)