 Hi and welcome to the session. I am Purva and I will help you with the following question. Fill in the box with the correct symbol out of greater than, less than and equal to and I have to compare 1 by minus 3 and minus 1 by 4. Now we begin with the solution. We have to compare 1 by minus 3 and minus 1 by 4. Now we can clearly see that the denominators of both the rational numbers are different. So first we make the denominators same by taking the LCM. So we have the LCM of 3 and 4 is 12. So we get the LCM of 3 and 4 as 12. Now we make the denominators of both the rational numbers equal to 12. Now to make the denominator of 1 by minus 3 equal to 12 what we do is we multiply the numerator and the denominator by minus 4. So we get 1 into minus 4 upon minus 3 into minus 4. And this is equal to 1 into minus 4 gives minus 4 upon minus 3 into minus 4 gives 12. So we get 1 upon minus 3 is equal to minus 4 upon 12. Now we make the denominator of minus 1 upon 4 equal to 12 and we multiply the numerator and the denominator by 3. So we get minus 1 into 3 upon 4 into 3 and this is equal to minus 1 into 3 gives minus 3 upon 4 into 3 gives 12. Thus we get minus 1 upon 4 is equal to minus 3 by 4. Now we can clearly see that we have made the denominators of the rational numbers equal to 12. Now we can easily compare the numerators since we know that 4 is greater than 3 therefore we get minus 4 is less than minus 3 that is minus 4 upon 12 is less than minus 3 upon 12. Now we know that minus 4 upon 12 is equal to 1 upon minus 3. So we get thus 1 upon minus 3 is less than now minus 3 upon 12 is equal to minus 1 upon 4. So we get minus 1 upon 4. Thus we get our answer as 1 upon minus 3 is less than minus 1 upon 4. Hence we write our answer as less than. So hope you have understood the solution. Take care and God bless you.