 Hi and welcome to the session today. We will learn about division of fractions So first of all, let us learn how to find out reciprocal of a fraction the non-zero numbers whose product with each other is one are called the reciprocals of each other for example 2 by 7 into 7 by 2 is equal to 1 so that means reciprocal 7 is 7 by 2 and reciprocal is 2 by 7 Now let's see division of whole number by a fraction to divide a whole number by any fraction Multiply that whole number by the reciprocal of that fraction Let's take an example for this We want to divide the whole number 15 by the fraction 5 by 2 then We will multiply the whole number 15 by the reciprocal of 5 by 2 which will be 2 by 5 So this will be equal to 30 by 5 Which is equal to 6 in the lowest form Now to divide a whole number by a mixed fraction convert the mixed fraction into improper fraction and then solve it Here is an example for this to mind the whole number 3 by the mixed fraction 2 and 1 by 3 So let us change the mixed fraction 2 and 1 by 3 in improper fraction So this will be equal to 3 divided by 7 by 3 So we will multiply the whole number 3 by the reciprocal of 7 by 3 that is 3 by 7 and This will be equal to 9 by 7 Now let us learn division of a fraction by a whole number to divide a Fraction by a whole number multiply that fraction by the reciprocal of that whole number for example Let us divide the fraction 7 by 3 by the whole number 2 So we will multiply the fraction 7 by 3 by the reciprocal of the whole number 2 that is 1 by 2 So this will be equal to 7 by 6 to divide a mixed fraction by a whole number First convert the next fraction into improper fraction and then solve it for example Suppose we want to divide the next fraction 3 and 1 by 2 by the whole number 4 So here we will convert the mixed fraction 3 and 1 by 2 into improper fraction So this will be equal to 7 by 2 divided by 4 Now this will be equal to 1 by 4 This is equal to 7 by 8. Let us see division of a fraction by another fraction to divide one fraction by another fraction multiply the first fraction by The reciprocal of the let's take an example for this Suppose we want to divide the fraction 3 by 7 by the fraction 8 by 7 Then we will multiply the first fraction 3 by 7 by the reciprocal of the second fraction That is 7 by 8. So this is equal to 21 by 56 Which is equal to 3 by 8 in its lowest form To divide one next fraction by another mixed fraction First of all convert both the mixed fractions into improper fractions and then solve it for example Let us divide the next fraction 3 1 by 5 by the next fraction 1 2 by 3 For let us convert both the mixed fractions into improper fractions So this will be equal to 16 by 5 divided by 5 by 3 Which gives 16 by 5 into 3 by 5 the reciprocal of 5 by 3 So this is equal to 48 upon 25 With this we finish this session. Hope you must have understood all the concepts. Goodbye. Take care and keep smiling