00:01
So in the given question we are told that we have to solve a few questions that is given as the sum of some or difference of two fractions.
00:12
So let's start with the first question.
00:16
So in the first question we have the fractions 4 divided by 8 minus 2 divided by 8.
00:24
So how do we find the difference of these two fractions? so first what we should see we should look for is whether the denominators of these fractions are the same.
00:35
If they are the same, then we can write it as a single fraction, that is we can write the denominator as 8 and we can combine the numerators and write it as 4 minus 2.
00:48
So now we can find 4 minus 2 which is equal to 2.
00:53
So the required difference, the difference of these two fractions is 2 by 8.
00:59
Now moving on to the second question, we have 10 by 24 minus 5 by 12.
01:11
So you can see that over here the denominators are different, right? so the first step is to make the denominators the same.
01:21
So one easy way to do that is we can multiply the numerator and the denominator of 5 by 12 with 2.
01:31
So what this would make this fraction what this would change this fraction into is we would have 10 by 24 minus 5 times 2 is 10 and 12 times 2 is 24 so we have 10 by 24 minus 10 by 24 means the answer for this question is 0.
01:55
Now when we are multiplying the fraction so that we can have the same denominator as the other fraction, one thing that you should keep in mind is that we should multiply the numerator and the denominator with the same number.
02:11
So the reason why we are doing this is that when we write 5 times 2 divided by 12 times 2 we can say 2 divides 2 and we would have 1 and this would make the fraction not change in value right so 5 by 12 remains as 5 by 12 itself what we have done is we have just multiplied 2 on both sides of the numerator and the denominator and this fraction would have the same value if we multiply the numerator and the denominator with the same value so the value of the fraction does not change but the value of the numerator and the denominator changes.
02:53
So that is what we are doing.
02:55
Now let's move on to the next one.
02:57
We have 8 by 28 minus plus 12 by 28.
03:05
So whether it is subtraction or addition, when it is the same denominator, we can write it.
03:13
We can write the denominator as the same one and we can combine.
03:17
The numerators as 8 plus 12.
03:21
So 8 plus 12 is 20...