 Hello and welcome to the session. In this session we discussed the following question which says arrange the following fractions in the ascending order 2 upon 3, 3 upon 4, 4 upon 5 and 5 upon 6. Let's see the solution now. The given fractions are 2 upon 3, 3 upon 4, 4 upon 5 and 5 upon 6 and we need to arrange these fractions in ascending order. For this, first we will convert each of these fractions into an equivalent fraction with the denominator equal to the LCM of the denominators and then the given fractions with the same denominator can be compared on the basis of the numerator. So, first of all let's find out the LCM of the denominators of these fractions that is LCM of 3, 4, 5 and 6. Let's find out the LCM of 3, 4, 5 and 6. 3, 1 time is 3. 3, 2 times is 6. 2, 2 times is 4. 2, 1 time is 2. Then 2, 1 time is 2 and 5. 1 time is 5. So, the LCM of 3, 4, 5, 6 is equal to the product of these numbers that is 3 multiplied by 2 multiplied by 2 multiplied by 5 which is equal to 60. So, we have got the LCM of the denominators of the given fractions as 60. Now, we will convert each of these fractions into an equivalent fraction with denominator equal to 60. So, first let's consider the fraction 2 upon 3. Let's convert its denominator to 60 and for this we need to multiply its numerator and denominator by 20. So, this is equal to 40 upon 60. Consider the other fraction 3 upon 4. Now, to make its denominator 60, we need to multiply the numerator and denominator here by 15 and so this is equal to 45 upon 16. Now, the next fraction is 4 upon 5. To make its denominator equal to 60, we need to multiply its numerator and denominator by 12 and so this comes out to be equal to 48 upon 60. Now, the last fraction is 5 upon 6. To make its denominator equal to 60, we need to multiply its numerator and denominator by 10 and so this is equal to 50 upon 60. Now, when we have to compare the fractions with the same denominator then even with the greater numerator is greater of the two fractions. So, we have got these fractions with same denominators and from here we can compare the numerators and so we get 40 upon 60 is less than 45 upon 60 is less than 48 upon 60 is less than 50 upon 60 which means that 2 upon 3 is less than 3 upon 4 is less than 4 upon 5 is less than 5 upon 6. So, this is the ascending order of the given fractions. So, this completes the session. Hope you have understood the solution of this question.