How Do You Spell ARITHMETIC FRACTION?

Pronunciation: [ɐɹˈɪθmətˌɪk fɹˈakʃən] (IPA)

The word "arithmetic fraction" is spelled with the IPA phonetic transcription /əˈrɪθmətɪk ˈfrækʃən/. The first syllable is pronounced with a schwa sound followed by the stress on the second syllable, which is pronounced with the "ih" vowel sound. The "th" in the word is pronounced with the voiceless dental fricative /θ/ sound, while the "fr" sound is pronounced with the voiced bilabial fricative /v/ sound. The final syllable is pronounced with the "sh" consonant sound followed by the short "uh" vowel sound.

Meaning and Definition
Etymology
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ARITHMETIC FRACTION Meaning and Definition

  1. An arithmetic fraction is a mathematical concept that represents a number as the ratio of two integers or whole numbers (numerator and denominator), commonly referred to as a fraction, that can be subjected to arithmetic operations. The numerator represents the number of equal parts or portions, while the denominator denotes the total number of those parts that make a whole or a unit. In arithmetic fractions, both the numerator and denominator can be positive integers, negative integers, or zero.

    The arithmetic fractions can be either proper fractions (where the numerator is smaller than the denominator), improper fractions (where the numerator is greater than or equal to the denominator), or mixed fractions (where the whole number part accompanies the proper fraction part).

    Addition, subtraction, multiplication, and division are the primary arithmetic operations that can be performed on fractions. These operations manipulate the numerator and denominator based on certain rules, allowing the fractions to be combined, subtracted, multiplied, or divided to produce explicit numerical results. Additionally, fractions can also be simplified or reduced to their lowest terms by dividing both the numerator and denominator by their greatest common divisor.

    Arithmetic fractions are fundamental in many mathematical applications, particularly when dealing with ratios, proportions, measurements, and problem-solving scenarios requiring calculations involving fractions.

Etymology of ARITHMETIC FRACTION

The word "arithmetic" comes from the Greek word "arithmētikē", which means "the science of numbers". It can be further traced back to the Greek word "arithmos", meaning "number". "Arithmetic" refers to the branch of mathematics that deals with the study of numbers, operations, and computations.

On the other hand, the word "fraction" originated from the Latin word "fractus", meaning "broken". It then evolved into the Medieval Latin word "fractio" with the same meaning, and later into the English word "fraction". In mathematics, "fraction" refers to a numerical representation that describes a part of a whole or a ratio between two quantities.

When combined, the term "arithmetic fraction" refers to the application of arithmetic principles and operations to fractions, including addition, subtraction, multiplication, and division.