Bruchrechnung - Punktrechnung vor Strichrechnung & Klammer geht vor! einfach erklärt Lehrerschmidt

Hello and welcome to teacher schmidt, today we are going to do mathematics together, we are in fractions and today we will see the calculation of points before the calculation of dashes, you can take a closer look, you know that there is an arithmetic rule, there are several and we are doing it together as usual, very slowly, so we need a task 86: five sixths times two thirds, we need to calculate that and now we can see, aha, there is a line calculation and a fraction calculation and the rule is to calculate the point calculation before the line.

That means we have to work on it first. If you are new to the subject, I recommend that you always make a sheet and then we will write everything again 86 - and the task now I would write it first together 5 times 2 divided by 6 times 3 and then the same sign and it was yes Before and after the same sign there must always be the same, again the first part with written 86 - and now calculate 5 x 2 is ten divided by six times three is 18 I can't calculate it yet because look here we have different men, that is, now we have to take the sixth to eight tenths or the other way around so we also go to 18.

What do we have to do with the six so that an 18 becomes 3 and we do that in the numerator and in January so write something back so eight tenths and if we calculate three , we can do that, yes, we also have to add 3 three times 18 24 at the top, the second remains then the second fraction 10 18 now we can calculate 24 18 00 - 10 8 tenths, that is 14 18 So we can leave it like this , not of course not, we still have to check if we can reduce something like that, divided by two, there are two even numbers 14 involved, two is seven and eighteen divided by two is 9 and now nothing works and now we have them First task, of all things, that's 79 and you can see that we did it in several steps and my The advice is to always do it like this, that was the first task, let's continue with it, we calculate 24 times five sixths plus half, it's your turn, what what do i have to do first?

To calculate correctly here is the task you first write two times five is at the top divided by 4 x 6 and the integer plus the unit, then calculate twice five is ten at the bottom four times six is ​​24 and the integer plus the half, that will be easy to take with us, so now We need the same denominator again, we just take the two and take them to 24, so we have to calculate twelve times. The first write was there again, so 10 24 and that plus we want to take them to 24, then we have calculated 12 below. Do we have to calculate twelve times if that's too fast for you?

Of course, I also have a video on how to expand and reduce fractions so we can then add them here. 10 + 12 is 22 24, we can reduce that again. The calculator divided by two so that's 11 12 plus it's not possible and I'm done again, so now do something a little harder twice three quarters plus half, this time I have a whole number here, I've already written it like this because the first thing we are going to do is convert it to an integer, it is always nothing more than 2. I could also say 21, no one says, but that's right, it's two integers, so I can only put a bow on this again because the times task point task comes first. and then it says twice at the top of the fraction divided into three and now I just add one here, once four and the whole plus I keep because I always have to carry that with me because there is the same sign so twice three is six once four is four plus half place is the same denominator of 2 and 4 4 or now I'll shorten it that means I can also shorten six quarters in half which should be the other way around so divide by two then it says three halves and half then I can add it so it's four halves and four halves.

I'm writing to you now but we have four halves at the same time, of course, it's two wholes and then I'm done. underline twice that means this is how to solve it right so that was the beginning now make it a little harder now comes a task dividing a quarter plus 26 divided by two tenths, what was it like dividing fractions? Do you remember clearly? First of all, the dot before the line applies here, which means this task must be completed first. Writing the first part was easy with a quarter more and now how does it work?

Divide fractions correctly. Take care of the values. So write here twice and now down ten divided by 6 times 2 you can see the ten moves up the two moves down the second fraction flips so there's a quarter plus 20 12 ok come with us now we have to think about when clicked it was from 12 to 4 so let's take it to 12 now we expand from four to twelve that means we calculate multiplied by 3 at the bottom then we also have to calculate multiplied by three at the top and then It says 312 here we can only cancel that 20.12. and that is 23 12 we are already finished not because here the numerator is bigger than men how many times does twelve fit in 23 once then it is that an integer and what is left above eleven twelve is a mixed number and you are a number mixed is made up of a whole number and a real fraction, okay, again, second task, 7 quarters - 28 divided by a quarter, so as the first point before the line, what do I have to work on here?

Clearly the split task is good, then I write the first fraction again, seven quarters. now I have to take the center value, which means I break the second fraction and the divided task becomes the task for the moment, so two times four divided by 8 times 1, ok, then I write 7 quarters: twice four It's eight, once eight is eight, okay? well, now I should take this to a quarter or this to an eighth brings the wind. The first one in 8 doesn't really matter, but just do something, let's take the first one up, so multiplied by two is 14 8 - 88 and that's 14 - 8 is six eighths, you can shorten it, of course we have that in there too.

I've already seen six eighths, I can divide it by two, then it's three quarters and I'm done, I could have gone to quarters right here. Both ways are really important. When you get the result, you should check if you still have it. It's great if you can shorten the calculation process, it usually saves time, but I wanted to show you both here. ok, I still have a task, let's do a final task two plus a quarter times three halves like this, but now I will make it even clearer and this square bracket that has been changed without a square bracket would be a period before the dash, but and that is very important, the square bracket of the rule comes first and the square bracket is more important than the period before the dash first here the square bracket so two integers or two singles ok, we can convert them into quarters four quarters who out of 8 quarters is two so I I can write between parentheses eight quarters plus one quarter.

You can see that I have simply converted the two integers into quarters and that integer multiplied by three halves. Now I can solve the parenthesis: eight quarters plus one quarter, which is simply one quarter times three halves. Now summarize that nine times three divided by 4 x 29 x 3 is 27 4 times 2 is eight so I can see that it is false The fraction counter is bigger than men so I have to wonder how many times the eight fits in 27 3 x 3 x 18 24 left three everywhere, so 3383 whole and three eighths and then I was done, I put it back together. There are three rules that I must keep in mind, first of all, if I have the same arithmetic operation + + + - - - then I count from left to right as normal as you want the money, but this rule can be overcome by calculating points before of the script calculation.

Point calculation always comes before dash calculation, except, and that would be the third rule, parentheses always come. first anyway, those are the three rules you have to follow and then it works great with fractional calculus, no matter if it's plus-minus or parentheses, okay, that's it.