 Hello and welcome to the session. In this session we discussed the folly question that says what should be added to 5 3 upon 10 to get 6 2 upon 15. Let's proceed with the solution now. We consider let the required number be x that is x should be added to 5 3 upon 10 to get 6 2 upon 15. Now from here we get x would be equal to 6 2 upon 15 minus 5 3 upon 10. Now these are the two mixed fractions given to us. First we convert these mixed fractions to improper fractions. The mixed fraction 6 2 upon 15 would be equal to 15 into 6 that is 90 plus 2 that is 92 upon 15. Now consider the mixed fraction 5 3 upon 10 this is equal to 5 into 10 50 plus 3 53 upon 10. So we have converted the given mixed fractions to improper fractions. Now these two improper fractions are unlike fractions we need to change them to like fractions. Now to change them to like fractions what we do is first we find the LCM of the denominators of these two fractions that is we find the LCM of 15 and 10. Now we have 5 3 times is 15 and 5 2 times is 10 then 3 1 times is 3 and 2 1 times is 2 so we get LCM of 15 and 10 would be equal to 5 multiplied by 3 multiplied by 2 and this is equal to 30. Now we convert the given fractions into an equivalent fraction having denominator equal to 30 that is the LCM of 15 and 10. Consider the fraction 92 upon 15 now we multiply its numerator and denominator by 2 to get the denominator as 30 which is the LCM of 15 and 10 so this is equal to 184 upon 30. Now consider the fraction 53 upon 10 now we need to convert its denominator to 30 and for that we need to multiply its numerator and denominator by 3 so this is equal to 159 upon 30. We had x is equal to 6 2 upon 15 minus 5 3 upon 10. Now 6 2 upon 15 is equal to 92 upon 15 which is further equal to 184 upon 30 and 5 3 upon 10 is equal to 53 upon 10 which is equal to 159 upon 30. Thus we get x is equal to 184 upon 30 minus 159 upon 30 and so this would be equal to 184 minus 159 upon 30 which is equal to 25 upon 30 that is we get x is equal to 25 upon 30 now 5 5 times is 25 and 5 6 times is 30 so this is equal to 5 upon 6. So we get 5 upon 6 should be added to 6 2 upon 15 to get 5 3 upon 10 so 5 upon 6 is our final answer. This completes the session hope you understood the solution for this question.