Proper Fractions

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:
\(\frac{2}{6}\) where 2 is a numerator less than 6 which is the denominator.

Proper Fractions Meaning

  • Few more Proper Function examples are :
\(\frac{1}{9} , \frac{2}{7}, \frac{4}{9}\).

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:
Proper Fractions as a Type of Fractions

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. It’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 knowIf the numerator and denominator of a fraction are multiplied by the same number, its value doesn’t change.

Let’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.

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