How To Convert Decimal To Fraction
The class by the maths teacher in the video is very impressive. Everything is so clear as the step by step explanations are given. The listener gets the feeling of attending a very good class by a very good teacher.
Hi, my name is Charles and I am one of the Maths Teachers from the Maxim Workshop. I am just telling you how to teach some articles in maths. Hi, I am going to show you how to convert decimal numbers into fractions.
The first thing I want to do is to write a set of decimals to convert. So, we would take 0.25, we would take 0.
4, we would take 0.1111 and we would take 0.232323.
So the first thing what we are going to do here is, say as 0.25, we have two numbers that go past the decimal point over the right hand side. So the way I have to change this direct into a fraction is to multiply this by a 100, so we would have that and that [0.
25 x 100] and we would get 25. So if we notice that, that means 25 divided by 100, gives us 0.25.
So 25 divided by 100 will give us 0.25. Now, again, just to recap what has happened there, if we want to move this decimal point past 25, we will need to multiply it by 100, which has two zeros, so we would have one jump, and another jump, Okay? So obviously if we want to change the decimal point, which is here, over here, we would need to divide it by 100, so that is the way how to convert this back to that.
So again, if you look at the value here, 0.4, the first thing we would need to do here is just to see how many times this decimal point needs to jump forward, past whole of the entire number. Now you can only see a 4 here, so it has to go only once.
So what we would do, we would just say 4 divided by 10 [4/10], and that gives us the fraction now we are looking for. Now over here, we have a repeated term. So we have 0.
1111.Now all you are looking to do is look forward what the repeated term is. Now, if you have 1 that is the only number that is being repeated.
So, the fraction now we are looking to use is 1 divided by 9 [1/9], so 9 is always the number that is used in repeated terms. Okay? So 1 divided by 9. Now, you can see that with this particular decimal, we have two repeated terms, 2 and 3, 2 and 3, 2 and 3.
So, 2 and 3 always recurring.
So to convert this into a fraction, what we would use is two 9s to divide by, so 99, so we would take 23 which is the repeated term, and simply divided it by 99 [23/99]. Now with these two, we can just stop there, because these two numbers are prime factors that show they are prime numbers, they cannot be broken down into simpler numbers. But if you look at these two numbers, 25 and 4, they actually have more prime factors which compose them.
So we can break these fractions down. So the first thing I am going to do now is to show you how you can break this down. So 25, divided by a hundred, we can break this down by dividing by 5, and we can break this down by dividing it by 5.
So if we divide 25 by 5, we write the value, 5, if we divide 100 by 5, we get the value of 20. Now, that is directly the first prime number that divides these two. Now if you want to look for another number that divides these two, that is again 5.
So, if we divide this by 5, we get 1, and if we divide 20 by 5, we get 4. Now this is something for you to remember. 25 goes into 100, four times.
So that means it is actually is a fourth of a 100, and that is what you get as the simple proper fraction, a quarter [1/4]. Now when we take a look at this, 4 divided by 10, we take the first prime number that can divide 4, and divide 10, now we see it as 2, now we divide this by 2 and we divide this by 2. So 4 divided by 2 leaves us with 2, and 10 divided by 2 leaves us with 5.
Now if you notice this and this number, they are prime factors, or prime numbers. So you can't actually divide this fraction down any further. So four tenths is equal to two fifths.
Okay? And that is pretty much how you convert decimal numbers into fractions. .