 Hello and welcome to the session. In this session we discussed the following question which says express 0.243 bar as a fraction in simplest form. Let's see its solution now. We are given the repeating decimal 0.243 bar. Now, since the bar is above the block of digits 243, this means that this block of digits is repeating. Now we need to express this repeating decimal as a fraction. So first of all we take let n be equal to the repeating decimal 0.243 bar. This could be written as 0.243, 243, 243 and so on. The block of repeating digits contain 3 digits so we will multiply both sides of this to the power 3 or 1000. So we get 1000 multiplied by n is equal to 0.243 bar multiplied by 1000. Or you can say this is equal to 0.243, 243, 243 and so on multiplied by 1000. Now multiplying this side by 1000 would shift the repeating block of digits 3 places to the left. So we get this is equal to 243.243, 243, 243 and so on. Or you can say 1000n is equal to 243.1 equal to 0.243 bar. So we would get 999n is equal to 243. Or you can say further we have n is equal to 243 upon 999. Now 3 81 times is 243 and 3 333 times is 999. Then 3 27 times is 81 and 3 111 times is 333. Now 3 9 times is 27 and 3 37 times is 111. So we get n is equal to 9 upon 37. Now as you know that we have taken n to be 0.243 bar as we get 0.243 bar is equal to 9 upon 37. Thus we have expressed the given repeating decimal into the fraction in the simplest form. So this is our final answer. This completes the session. Hope you have understood the solution of this question.