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Ratio



In algebra, a ratio is the relationship between two quantities. It is expressed as the quotient of two numbers, or as two numbers separated by a colon (punctuation) (pronounced "to"). A number that can be written as a ratio of two integers is a rational number. Examples: * If a school has a twenty-to-one student-teacher ratio, that means that there are twenty times as many students as teachers. * In a benzene, atoms of carbon and hydrogen exist in a one-to-one ratio with each other; there are the same number of each. The carbon:hydrogen ratio in naphthalene is 5:4. The ratio of oxygen atoms to hydrogen atoms in water is 1:2. * Jupiter_(planet) is 318 times the size of Earth. * The musical interval (music) of a perfect fifth, the pitch ratio 3:2, consists of two pitches, one approximately 1.5 times the frequency of another. Note the use of words such as "times", "parts", "number", etc. This occurs because ratios are unitless; the units cancel out of the ratio. e.g. 3 kg / 5 kg = 3000 g / 5000 g = 3/5. Ratios are not exactly the same thing as vulgar fractions. For example, if I have three penny and five nickel (U.S. coin)s, then the ratio of pennies to nickels is 3:5 or 3/5. This indicates that there are three fifths as many pennies as nickels. However the fraction of coins which are pennies is 3/(3+5) = 3/8. Thus the chances of a randomly selected coin being a penny are three in eight. The most common thing to do with ratios is multiply them. For example, there are 60 minutes in an hour and 24 hours in a day. Therefore, (since 60 min/hr × 24 hr/day = 1440 min/day) there are 1440 minutes in every day. Note that the intermediate unit, hours, canceled out of the expression. Also, each fraction in the expression was equal to one, which is how we know that their product (1440 min/day) is also equal to one. Similarly, if we want to know the number of minutes in a week, then we can multiply 7 days by 1440 minutes per day (1440 min/day = 1 (number), the multiplicative identity) to arrive at an answer of 10080 minutes. ==See also== *Analogy *Conversion factor *Financial ratio *Golden ratio *Odds *Proportionality (mathematics) *Ratio decidendi the reasoning for a court of law's decision. *Rational number Algebra vi:Tỷ lệ

Ratio



Hmmm. I thought you could have ratios between more than two quantities. E.g. If my fruit bowl has apples, pears and bananas in the ratio 1:3:4 and there are 2 apples in there then there are 6 pears and 8 bananas. So, why does the article limit rations to being between only two quantities? Why wouldn't you just put 2:6:8 ? -- What you are defining are relative proportions, not a ratio. really


See other meanings of words starting from letter:

R

RA | RB | RC | RD | RE | RF | RG | RH | RI | RJ | RK | RL | RM | RN | RO | RP | RS | RT | RU | RW | RX | RY | RZ |

Words begining with Ratio:

Ratio
Ratio
Ratiocinate
Ratiocinate
Ratiocinate/oldcontribs
Ratiocination
Ratiocination
Ration
Rational
Rational-legal_authority
Rational-legal_authority
RationalChoiceTheory
Rationale
Rationale_for_gifted_programs
Rationale_for_gifted_programs
Rationalis
Rationalisation
Rationalism
Rationalism
Rationalism_(disambiguation)
Rationalism_(disambiguation)
Rationalist
Rationalist
Rationalists
Rationalist_International
Rationalist_International
Rationality
Rationality
Rationality_and_faith
Rationality_question
Rationalization
Rationalization_(economics)
Rationalization_(psychology)
Rationalization_(sociology)
RationalNumbers
Rationals
Rationaltoast
Rational_actor_theory
Rational_agent
Rational_canonical_form
Rational_Choice
Rational_choice
Rational_Choice_Theory
Rational_choice_theory
Rational_ClearCase
Rational_ClearCase
Rational_domain
Rational_drug_design
Rational_economic_man
Rational_Emotive_Behavior_Therapy
Rational_Expectations
Rational_expectations
Rational_field
Rational_fraction
Rational_fraction
Rational_function
Rational_function
Rational_functions
Rational_function_field
Rational_ignorance
Rational_ignorance
Rational_investor
Rational_mechanics
Rational_neologism
Rational_Number
Rational_number
Rational_number
Rational_numbers
Rational_numbers
Rational_number_field
Rational_pricing
Rational_pricing
Rational_reconstruction
Rational_Recovery
Rational_Recovery
Rational_root_theorem
Rational_root_theorem
Rational_Rose
Rational_Rose
Rational_rose
Rational_selfishness
Rational_selfishness
Rational_Software
Rational_Software
Rational_Software_Corporation
Rational_Unified_Process
Rational_Unified_Process
Rational_variety
Rational_Youth
Rational_Youth_(EP)
Rational_Youth_albums
Rationibus
Rationibus
Rationing
Rationing_in_Britain_during_World_War_II
Rationing_in_Britain_during_World_War_II
Ration_card
Ratios
Ratio_Club
Ratio_decedendi
Ratio_decidendi
Ratio_measurement
Ratio_test


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