FRACTIONS DIVISION Meaning and
Definition
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Fractions division, also known as dividing fractions, is a mathematical operation that involves dividing two fractions. In this process, one fraction is divided by another to determine the quotient, which represents the result of the division. Division with fractions is primarily based on the concept of multiplying by the reciprocal (also called the multiplicative inverse) of the divisor.
To perform fractions division, the first step is to determine the reciprocal of the divisor, which is obtained by simply swapping the numerator and denominator of the fraction. Then, the reciprocal is multiplied by the dividend, which represents the fraction being divided. This can be done by multiplying the numerators to obtain the new numerator and multiplying the denominators to obtain the new denominator.
The resulting fraction is the quotient or the answer to the division problem. In cases where the resulting fraction is an improper fraction, it can be further simplified to a mixed number, if necessary.
Fractions division is a fundamental concept in mathematics, particularly in arithmetic and algebra. It allows for the representation and manipulation of values that are not whole numbers, enabling a more precise and accurate calculation in various real-life applications, such as sharing quantities, calculating rates, and solving equations involving fractions.
Common Misspellings for FRACTIONS DIVISION
- dractions division
- cractions division
- vractions division
- gractions division
- tractions division
- rractions division
- feactions division
- fdactions division
- ffactions division
- ftactions division
- f5actions division
- f4actions division
- frzctions division
- frsctions division
- frwctions division
- frqctions division
- fraxtions division
- fravtions division
- fraftions division
- fradtions division
Etymology of FRACTIONS DIVISION
The term "fractions division" does not have a specific etymology because it is a combination of two separate words: "fractions" and "division".
1. Fractions: The word "fractions" originated from the Latin word "fractio", which means "a breaking" or "a fragment". It was derived from the verb "frangere", meaning "to break". In mathematics, a fraction represents a part of a whole or a division of a quantity into equal parts.
2. Division: The word "division" originated from the Latin word "divisio", which means "a splitting" or "a separating". It was derived from the verb "dividere", meaning "to separate" or "to distribute". In mathematics, division is an arithmetic operation that splits or separates a quantity into equal parts or groups.
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