“A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction” – LEO  TOLSTOY



Numerator and Denominator

The upper part of the fraction is called Numerator. It tells the number of parts we have.

The lower part of the fraction is called Denominator. It tells the total parts in a whole.


It reads as “three-fifths”.

Representation of fraction on Number line




·         Draw a number line.

·         We know that ½ is less than 1 and greater than 0, so we have to divide the gap between two equal parts and then mark the middle point as ½.

As the denominator is the whole and the numerator is the part, so we have to divide the gap between 0 and 1 in the number of parts as the denominator is given.

For 1/3, divide into 3 equal parts.For ¼, divide into 4 equal parts and so on.


Proper Fractions
If the numerator is less than the denominator then it is called proper fraction. If we represent a proper fraction on the number line than it will always lie between 0 and 1.


Improper fractions and Mixed fractions
When the numerator is greater than the denominator then it is called Improper fraction.

The fraction made by the combination of whole and a part is called Mixed fraction.

Convert Mixed fraction into Improper fraction








Middle School

WordPress Lightbox