Fractional Numbers: Definition and Types
Fractional Numbers: Definition and Types - Here we will discuss one of the subjects that are said to be difficult. The subject is mathematics, for some people say so. In mathematics we will find what is called a fractional number, what is a fractional number? Let's discuss in full with the types.
Fractional Numbers: Definition and Types
In the field of mathematics fractions are one thing that is very familiar, because Anyone who has studied mathematics at school will definitely learn numbers too this fraction.
Have you ever cut a cake? For example like a birthday cake for example. Have you ever thought that when you cut the cake you actually practiced the science of fractions? Yes, these fractions are none other than actually the same as we are learning how to distribute things properly and correctly so that they fit as we wish. Therefore, let's study this fraction formula carefully. Let's discuss the meaning first below.
Definition of Fractional Numbers
A fraction is a number that consists of two digits, namely the numerator and the divisor or denominator. Fractional numbers have a shape
with b≠0, where a is called the quantifier and b is called the denominator.
Definition of fractions according to experts
The following are some opinions from experts regarding the meaning of fractions, including the following.
According to ST. Negoro
According to ST. Negoro and Harahap 1998: 160, a fraction is a number that describes a part of the whole, which is a part of an area, a part of an object, or a part of an assemblage.
According to Muchtar A. Karim
Similar to the opinion above, according to Muchtar A. Karim 1998:6.4 he argues that a fraction is a comparison of equal parts to the whole from an object or a set of equal parts to the whole of a set to a set beginning. The meaning of "the ratio of equal parts to the whole of an object" is if this object divided into equal parts, the comparison creates a basic symbol for a fraction. Then the meaning of "a subset that is equal to the whole of an original set" is a set that is divided into subsets that are equal, then the comparison of each of the same subsets to the entire original set will create the basic symbol of a fractions.
According to Sulis Sutrisna
According to Sulis Sutrisna, a fraction is something that is incomplete, which has a number that is more or less intact.
According to Heruman
According to Heruman, he argued that this fraction can also be interpreted as a part of something whole. For example in the illustration of the picture, where the part in question is the part that is considered, which is usually marked with shading. This part is called the quantifier. While the whole part is the part that is considered as the denominator.
According to Riedesel, Schwartz and Clement
According to Riedesel, Schwartz and Clement, he argued that a fraction consists of an ordered pair of integers symbolized by ab or more conventionally, by b a in which the first or top integer is called the numerator and the second or bottom integer is called the denominator.
According to John Bird
Similar to John Bird, he argued that when 2 is divided by 3, we can write 3 2 or 23. 3 2 is called a fraction. The 2 above the line is called the quantifier and the 3 below the line is called the denominator. If the value of the quantifier is less than the value of the denominator, the fraction is called a proper fraction. However, if the quantifier is greater than the denominator, the fraction is called an improper fraction, for example the number 73. Improper fractions are also known as mixed fractions. Therefore, the improper fraction 73 is the same as the mixed number 2 3 1 .
From the several opinions expressed by these experts, we can conclude that a fraction is a number that describes a part of set, which is the ratio of equal parts to a whole of incomplete things that have more or less than whole denoted by ab or b a, a which is called the quantifier and b is also called the denominator, a and b are integers with b = 0. commit to user 10.
Types of Fractional Numbers
There are several kinds or types of fractional numbers, including:
- Common fractional number
- Worth Fractional Numbers
- Mixed fraction number
- Decimal fraction number
- Percent fraction
- Permil fraction number
The following is an explanation of the types of fractional numbers:
Ordinary Fractions
An ordinary fraction is a fraction that only has a numerator and denominator.
Example:
Mixed Fractions
A mixed fraction is a fraction that consists of an integer fraction, a numerator and a denominator.
Example:
Decimal Fractions
A decimal fraction is a number obtained by dividing a number by 10, 100, 1000 and so on. Decimal fractions are generally marked with a comma (,).
Example:
- 0.3 = five tenths ⇒ is obtained from 3 divided by 10.
- 0.50 = fifty percent ⇒ obtained from fifty divided by one hundred.
Percent Fraction
A percent fraction is a number divided by 100.
Example:
- 20% is read as 20 percent and is equal to 20 over 100 = 0.2
- 45% is read as 45 percent and its value is equal to 45 per 100 = 0.45
Permil Fractions
The permil fraction is a number divided by a thousand.
Example:
- 10‰ is read as 10 per mil and its value is equal to 10 per 1000 = 0.01
- 70‰ is read as 70 per mil and the value is equal to 70 per 1000 = 0.07
Worth Fractions
Fractions are said to be equivalent fractions, namely the same value if the comparator and denominator can be multiplied or divided by the same number.
Example:
Simplifying Fractions
You can simplify fractions by dividing the quantifier and denominator with the same number.
Example:
Changing Fraction Forms
An improper fraction becomes a mixed fraction
with c = integer division result 
and d is the remainder of the division.
Example:
And 
Mixed fractions become improper fractions
Example:
And 
Operations to Count Fractional Numbers
1. Addition and Subtraction
If both fractions have the same denominator
Example:
Completion:
If the two fractions have different denominators
Example:
Completion:
2. Multiplication and Division
Multiplication Example
Completion
Sharing Example
Completion
Thus our brief discussion of Fractional Numbers: Definition and Types, I hope the example and completion of the simple formula above regarding fractional numbers can be useful for all of us. Thank You.
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