How To Turn Fractions Into Decimals
How To Turn Fractions Into Decimals: Turning fractions into decimals, is something a bit difficult for most people. In this video, Charles has tried to show us an easy way of doing just that in a very easy way, that anyone could follow his instructions.
Hi, my name is Charles and I am one of the maths teachers from the Maxim workshop. I am just telling you now how to do some math. In this video, I am going to show you how to turn fractions into decimals.
So, the most basic type of fractions I want to turn into a decimal, is one that might look like this, seventy five divided by a hundred. Now if you look at the hundred, you see two zeroes. So when you are dividing by zeroes, all it has the effect in doing is moving the decimal point from the numerator the left twice.
However many zeroes you see, that's how many times you have to jump. Okay so, the first zero we jump here, second zero we jump here. Okay, now we put a zero in front so we've got seventy five divided by hundred as zero point seven five.
Okay, so that's basically the decimal that you are looking to when you've got seventy five divided by hundred. Now just imagine if you have another decimal, I mean another fraction which may be say, four divided by twenty five. The first thing again would be to actually see how many times you can multiply this to get to a hundred and whatever you done to this denominator is to numerator.
So, the easiest way to get this a hundred is multiplied by four and again just to preserve the fractions weight you need to multiply this also by four we have sixteen divided by a hundred. As you can see here again, we have two zeroes so we are going to do the same thing as what we have done in this particular sum, we are going to jump twice, so we jump once and then we jump twice. Now, that gives us zero point one six or zero point sixteen.
Now, these are pretty trivial, when you get to the situation whereby you can't convert the denominator say for instance, this question, three divided by eight, you can see that changing this to a hundred, is a bit hard, so what you are going to need to do is to use short division on this . So we start off by using a tableau or division tableau and we say three divided by eight, so the eight goes on here, and the three goes here. So, the first thing that you would want to do is to see how many times eight goes into three.
And you can see that's a bit, it's not going to happen. So, put a decimal point there and a zero there. And also the decimal point goes there.
Now you extend your tableau because behind this and number three, obviously lies your decimal point most of you would know that, but some of you might be lacking the knowledge to know that you have an infinite number of zeroes, extended beyond that. So, we can start by drawing some zeroes, okay. Now, as you can see, that eight was unable to go into the three, so what the three now becomes is the remainder, the remainder goes on the top left hand corner of the first zero, so to make thirty, okay.
Now, how many times does eight go into thirty? Okay now, that question is answered by just multiplying up. All you have to do is one times eight is eight, two times eight sixteen, three times eight twenty four, four times eight thirty two, so we can't use four times eight because that's thirty two, so we go back down to twenty four, which is three times eight. So we can see that this goes three times eight, it arrives at twenty four, so the remainder is six.
So the six, goes on top there, and now we have sixty. So now we want to find out how many times eight goes into sixty. Now if you remember your eight times table, the one the people most commonly remember is eight times eight which is sixty four.
You can see that has just gone past the sixty. If you go back one down, to seven times eight, that gives us fifty six, so eight goes into sixty, seven times, so we put in seven there, add another zero, if we go up to fifty six we have a remainder of four. Okay, now, you can already see zero point three seven okay, now it is efficient to stop there, because you have got two decimal numbers, you can see that this will be only an approximation, it might be zero point three seven