What are Fractions?

Fractions are a way of representing a portion of a whole or ratio of two whole numbers. It is made when two numbers are divided by a horizontal or diagonal line, where the top number is called Numerator and the bottom number is called Denominator.

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Parts of Fractions

There are two parts of fractions,

• Numerator
• Denominator

Numerator: Numerator is the number above the fraction line that indicates how many components of the whole you have or are contemplating. It denotes the number of pieces being discussed or used. For example, in the fraction 3/5, 3 is numerator, indicating that you are evaluating 3 parts out of a total of 5.

Denominator: Number below the fraction line is the denominator, and it represents the total number of equal pieces that make up the whole. It denotes the total number of pieces in the unit or set as a whole. In the above example, denominator in 3/5 is 5, indicating that the whole has been divided into 5 equal pieces.

The numerator and denominator work together to convey the value of a fraction as well as its relationship to the whole, allowing us to express portions or divisions of a whole in simply accessible and quantitative terms.

Types of Fraction

Proper Fractions, Improper fractions, and Mixed Fractions are three types of fractions. Let us define each of them.

Proper Fraction: Proper fractions have a numerator (the top number) that is less than the denominator (the bottom number). When represented as decimals, they indicate portions of a whole and are always less than one. For example, 3/4​ or 5/8​ are proper fractions.

Improper Fraction: Improper fractions, on the other hand, have a numerator that is equal to or higher than the denominator. They signify a greater-than-one value and may be converted to mixed numbers. For example, 8/5​ or 7/4​ are proper fractions.

Mixed Fraction: A mixed number is a whole number plus a proper fraction. They are written with a whole number first, then a fraction. For example, ​ or ​ are mixed fractions.

Each fraction type serves a particular purpose in describing quantities, making it easier to understand and interact with different portions of a numbers.

Fractions created by swapping the numerator and denominator of the given fraction are known as Reciprocal Fractions. For example, fraction b/a has the reciprocal fraction a/b. The characteristic of reciprocal fractions is that they always result in 1 when multiplied together.

In this article, we will learn about, Reciprocal Fraction Definition, What are Fractions? Reciprocal Function Graph, Reciprocal Mixed Fraction, Adding Reciprocal Fractions, Subtracting Reciprocal Fractions, Reciprocal Fractions Algebra, How to Find Reciprocal Fraction, etc and others.