 Hi and welcome to the session. Today we will learn about fractions. A fraction is a number representing of a whole. The whole may be a single object or a group of objects. Also you need to remember one thing that when expressing a situation counting to write a fraction it must be ensured. For example in the fraction is called the numerator and five is called the denominator. And we want to find out that what portion of the given vector is shaded. So first of all let us count the shaded parts which is equal to the total parts. This is equal to seven. We can see that all the parts are equal so shaded portion is given by three that is shaded parts upon seven that is total parts. So three one seven is the fraction which represents the shaded portion of the given picture. Now let us learnt a fraction on a number nine. Suppose we want to represent the fraction three by five on a number nine. Now we know that three by five is greater than zero which is less than one. So this implies that three by five lies and here let us mark zero and here we will mark one. Now we have denominator five so we will divide the unit length between zero and one in five equal parts like this. Now this we have one this two here we have three it represents three by five. So here we have represented the fraction three by five on the number nine. Now let us see what is a proper fraction in a proper fraction the numerator is less than the denominator. For example one by three seven by nine fractions also remember one thing that proper fractions are always less than one. Now our next topic is improper and mixed fractions. First of all let us see what is a improper fraction. The fractions the numerator is greater than the denominator are called improper fractions. For example five by two seven by three nine by eight are all improper fractions. Now let us see what is a mixed fraction and improper fraction can be written as a combination of a whole and a part. And such fractions are then called mixed fractions. For example two is a mixed fraction which is a combination of a whole and a part. Now let us see how to express an improper fraction as a mixed fraction. So suppose we want to express the improper fraction eleven upon five as mixed fraction. To form let us divide eleven by five. So we will get two as a quotient and one as a remainder. Now mixed fraction is written as remainder divisor. So here eleven upon five will be equal to quotient that is two and remainder that is one upon divisor that is five. So eleven upon five is equal to two one upon five. Now let us see how to express fraction as a improper fraction. So suppose we want to express the mixed fraction seven upon four as an improper fraction. Now the improper fraction will be written as whole into denominator plus numerator denominator where whole is the whole part of the mixed fraction which is seven over here. Numerator is three and denominator is four. The mixed fraction seven three upon four will be written as whole that is seven into four. Numerator that is three upon denominator that is four. And this will be equal to thirty one upon. With this we finish this session. Hope you understood all the concepts. Goodbye, take care and have a nice day.