# Ratio

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.

### Other articles related to "ratio, ratios":

Thrust-to-weight Ratio
... The thrust-to-weight ratio can be calculated by dividing the thrust (in SI units – in newtons) by the weight (in newtons) of the engine or vehicle ... valid comparison of the initial thrust-to-weight ratio of two or more engines or vehicles, thrust must be measured under controlled conditions ...
Ratio - Different Units
... Ratios are unitless when they relate quantities in units of the same dimension ... For example, the ratio 1 minute 40 seconds can be reduced by changing the first value to 60 seconds ... Once the units are the same, they can be omitted, and the ratio can be reduced to 32 ...
Isotopes Of Osmium
... and is most often measured in an 187Os/188Os ratio ... This ratio, as well as the 187Re/187Os ratio, have been used extensively in dating terrestrial as well as meteoric rocks ...
Oxygen Isotope Ratio Cycle
... Oxygen isotope ratio cycles are cyclical variations in the ratio of the abundance of oxygen with an atomic mass of 18 to the abundance of oxygen with an atomic mass of 16 present ... The ratio is linked to water temperature of ancient oceans, which in turn reflects ancient climates ... Cycles in the ratio mirror climate changes in geologic history ...
Bypass Ratio
... The term bypass ratio (BPR) relates to the design of turbofan engines, commonly used in aviation ... It is defined as the ratio between the mass flow rate of air drawn through a fan disk which bypasses the engine core (un-combusted air), to the mass flow rate passing through the ... For example, with a 101 bypass ratio, for every 1 kg of air passing through the combustion chamber, 10 kg of air passes around the combustion chamber through the ducted fan alone ...

### Famous quotes containing the word ratio:

Official dignity tends to increase in inverse ratio to the importance of the country in which the office is held.
Aldous Huxley (1894–1963)

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)

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)