00:00Welcome everyone! So yes, a lot of people thought that the answer for this one was supposed to be 1
00:04because x and x gets cancelled, 2 and 2 also gets cancelled.
00:08So what are you left? You are left with just 1.
00:11No, that is not how these things work.
00:13See, when you write this, let's write this in a proper fraction form.
00:17So they have said x divided by 2.
00:20Then they are saying divided by x divided by 2 plus 1.
00:26So first we need to do the brackets.
00:28So here we have x upon 2 plus 1.
00:33When you have something like this, we need to sort this out and make it in a proper fraction.
00:38So now this 1 has the denominator as 1.
00:41And in order to do the addition, you need to have the same denominator on both sides.
00:47So whatever denominator we have over here, 1, we have to get it multiplied by 2.
00:52And whatever operation I do it over here should be followed in the numerator as well.
00:58So I have x plus 2 divided by 2.
01:03Now that has become this entire bracket.
01:08So now you have x divided by 2 divided by x plus 2 divided by 2.
01:17Now when you have something like this, you need to follow the rule of division for fractions which is KCF where K stands for keeping the first number as it is.
01:28KC stands for changing the first number as it is, KC stands for changing the division sign to multiplication.
01:32KC stands for flipping or taking reciprocal of x plus 2 by 2.
01:36That is 2 upon x plus 2.
01:40So this is cancelling.
01:41So the answer for this question is supposed to be x upon x plus 2.
01:46I hope this is very very clear to everyone.
01:50That's it for today.
01:51I will see you in the next video.
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