 Hi and welcome to the session. Today we will learn about equivalent fractions. Equivalent fractions are those fractions which represent the same part of a hole. Also, in proper fractions, many equivalent fractions to find an equivalent fraction of a given fraction, we may multiply or divide both the numerator and the denominator of the given fraction by the same number. For example, let us find out the equivalent fractions of the fraction 3 by 5. So now to find out the equivalent fraction of 3 by 5, we will multiply the numerator and denominator of the fraction 3 by 5 by the number 2 and we will get 6 by 10. So here 6 by 10 is the equivalent fraction of 3 by 5, that is 3 by 5 is equal to 6 by 10. Now let us find out one more equivalent fraction of 3 by 5. So here we will multiply the numerator and denominator by the number 3 and we will get 9 by 15. So 9 by 15 is an equivalent fraction of 3 by 5, thus we have 3 by 5 is equal to 6 by 10 is equal to 9 by 15. There is an interesting fact regarding equivalent fractions. Suppose a upon v and c upon v are equivalent fractions, then we know that a upon v will be equal to c upon d. So from this we can say that a into t will be equal to b into c and these both are called the cross products of this pair. So that means we can say that the cross products of this pair will be equal. Now let us move on to our next topic, simplest form of a fraction. To be in the simplest if its numerator denominator has no common other than 1. Now let us see the shortest way find the equivalent fraction in the simplest form. First of all find the xc numerator denominator and then divide the numerator and denominator by the xcf. The simplest of the fraction 8 upon 14. So first of all let us find out the xcf of numerator and denominator. So we have xcf of 8 and 14 is equal to 2. So let us divide the numerator and denominator by the xcf that is we get 4 upon 7. So 4 upon 7 is the simplest fraction 8 upon 14. Now let us see what are like fractions. Fractions are the fractions for example 2 by 9, 5 by 9, 7 by 9 are all like fractions. Next we have unlike fractions. Fractions are the fractions with different denominator. For example 2 by 13, 7 by 15 are all unlike fractions. With this we finished this session hope you must have understood all the concepts. Goodbye and take care and have a nice day.