ratio

/'reiʃiou/

Thân thiện

A teacher draws a simple ratio on the classroom whiteboard.

Definition

1. Noun:
   • A quantitative relation between two amounts showing the number of times one value contains or is contained within the other. It is a comparison of two numbers or quantities, often expressed as a quotient (e.g., a:b or a/b).
   • The relative magnitudes, quantities, or degrees of two or more comparable things. It expresses how much of one thing there is compared to another.

Usage and Examples

• Basic Usage: A ratio compares two numbers by division.
  • The ratio of boys to girls in the class is 3:2. (This means for every 3 boys, there are 2 girls.)
  • The fuel mix has a ratio of 10 parts oil to 1 part gasoline.
• Expressed as a Quotient: Ratios can be written as fractions.
  • The aspect ratio of the screen is 16/9 (or 16:9).
• In Context: Used to describe proportional relationships in mathematics, science, finance, and daily life.
  • The school maintains a low student-to-teacher ratio.

Advanced Usage

• In Direct/Inverse Ratio: Describes a proportional or inversely proportional relationship.
  • The pressure is in direct ratio to the temperature. (Pressure increases as temperature increases.)
  • Speed is in inverse ratio to the time taken for a fixed distance. (As speed increases, time decreases.)
• Golden Ratio: A specific, often aesthetically pleasing ratio, approximately 1.618:1, found in art, architecture, and nature.

Variants and Related Words

• Proportion (n): A part, share, or number considered in comparative relation to a whole. (Often used interchangeably with "ratio," though "proportion" can imply a part-to-whole relationship, while "ratio" is typically part-to-part.)
  • A large proportion of the budget is allocated to research.
• Rate (n): A measure, quantity, or frequency, typically one measured against another quantity or measure (e.g., speed is a rate of distance per time).
  • The birth rate is 15 per 1000 people.
• Quotient (n): The result obtained by dividing one quantity by another.
  • The intelligence quotient (IQ) is a score derived from standardized tests.

Synonyms

• Proportion: Comparative relation between things.
• Rate: A measure of one thing in relation to another in which it is connected.
• Quotient: The ratio of two quantities to be divided.
• Fraction: A numerical quantity that is not a whole number, often representing a ratio.

Related Phrases and Terms

• Aspect Ratio: The ratio of the width to the height of an image or screen.
  • Modern TVs often have a 16:9 aspect ratio.
• Gear Ratio: In mechanics, the ratio of the speeds of rotation of two intermeshing gears.
  • A lower gear ratio provides more torque.
• Odds Ratio: A statistical measure used in probability and statistics.
  • The study calculated the odds ratio for the risk factor.
• Signal-to-Noise Ratio: A measure used in science and engineering that compares the level of a desired signal to the level of background noise.

Idioms and Common Expressions

• In the ratio of X to Y: According to a specified proportional relationship.
  • Mix the ingredients in the ratio of two to one.
• Bear a ratio to: To have a proportional relationship with something.
  • The cost bears a direct ratio to the quality. (Formal)

Học thuật

Noun

1. the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree
   • an inordinate proportion of the book is given over to quotations
   • a dry martini has a large proportion of gin
2. the relative magnitudes of two quantities (usually expressed as a quotient)

Từ đồng nghĩa

• proportion