Definition of Proper Fractions:
When the numerator is less than the denominator, it is called a Proper function.
- If you want to describe a part of a whole, it is called a Fraction.
- Denominator – The number on the bottom of the fraction and it shows the number of equal parts the whole is divided into.
- Numerator – The numerator is the number on the top of the fraction and it shows the number of the parts we are considering.
- Example, in the fraction 5/6 it shows “5 of 6 equal parts.” 5 is the numerator, and 6 is the denominator.
- Example of a Proper Fraction:
- Few more Proper Function examples are :
Note: In all the above examples, the number on the top (numerator) is smaller than the number at the bottom(denominator).
So, Basically, It is a way to divide or cut any object in smaller parts. Example If you divide a bar of chocolate into two equal parts, it would be called as two halves.
It can be denoted mathematically as
\(\frac{1}{2} +\frac{1}{2}= 1\)This expression is called a Fraction. You may divide the chocolate bar into more pieces too.
Types of fractions:
There are 3 types of fractions and an overview of them is given below:
Types of Fractions | Proper Fractions / Vulgar Fractions/Common Fractions | Improper Fractions | Mixed Fractions |
Property | In this, the numerator is smaller than the Denominator. | In this, the numerator is larger or equal than Denominator. | Itâ€™s a combination of a whole number and a proper fraction. |
Example | \(\frac{2}{3}\) | \(\frac{2}{1} or \frac{5}{5}\) | \(5\frac{1}{2}\) |
Point to know– If the numerator and denominator of a fraction are multiplied by the same number, its value doesnâ€™t change.
Letâ€™s Solve a few problems on Propper fractions:
Question | Answer |
Is \(\frac{1}{2}\) a proper fraction? | Yes, It is a proper fraction because the numerator 1 in this fraction is less than the denominator 2. |
Is \(\frac{4}{2}\) a proper fraction? | No, It is not a proper fraction because the numerator 4 in this fraction is more than the denominator 2. It is an improper fraction. |
Is \(\frac{9}{8}\) a proper fraction? | No, It is not a proper fraction because the numerator 9 in this fraction is more than the denominator 8. It is an improper fraction. |
Is \(\frac{6}{5}\) a proper fraction? | No, It is not a proper fraction because the numerator 6 in this fraction is more than the denominator 5. It is an improper fraction. |
Is \(\frac{5}{9}\) a proper fraction? | Yes, It is a proper fraction because the numerator 5 in this fraction is less than the denominator 9. |
Maths Related Links | |
Trigonometry Table | Cumulative Frequency Distribution |
Simple Interest | Isosceles Triangle, Equilateral triangle, Scalene Triangle |