Hi, I’m Peter Edwards from Bluetutors. We

teach children of all ages, right from primary school to degree level and we find the highest

quality tutors. And today I’m going to teach you some maths. We’re now going to look at how to change a

decimal into a fraction. And so we’re going to start off with a fairly simple example

and hopefully expand that into something a bit more complicated. So if we look at the

first example we have up here, 0. 12. So what you have to think about when you’re

converting this to a fraction is how many decimal places do we have. In this case, we

have two. The first decimal place represents tenths

and the second represents hundreds. So, this in fact is equal to 12/100. And we can simplify

that by dividing top and bottom by four to get 3/25. So this decimal here, 0.12, is equal to 3/25.

So let’s do a similar thing with this decimal now. In fact, you can see we have four decimal

places. So we have tenths, hundredths, thousandths, and ten thousandths. So this is going to be

equal

to 7524/10000. And so again we can simplify that. This might

take me a while. So we’ll divide top and bottom by two first to give us 3762/5000 which is

equal to 1881/2500. And so that is that fraction simplified. Now,

we’re going to look at a more complicated situation where we have a decimal but these

two dots here mean that that line of digits is repeated over and over again. This is a

recurring decimal which never ends and we’re going to try and work out what fraction this

is. Now, the way to do that is to take this and

in fact, multiply it so that this decimal point comes after this seven here. So we need

the point to jump six times. So we’re going to multiply this by one million. So we’re going to call this number here ‘x’

and we’re going to say 1,000,000 times x is equal

to 142857.142587. And again this recurs over

and over again. Now we have this, what we can do is take our

other x

and what we’re going to do now is take this bottom line away from this top line. That

leaves us with 999999x equal to 142857. And so x is equal to 142857/999999. And if you put that into your calculator and

work it out, you will see that that is equal to 1/7. And so that is how to work out a fraction

when you have a recurring decimal. And as long as it is a recurring decimal and not

an irrational number, then you’ll always be able to that. And that is how to convert decimals into fractions.

.

omg it was that simple

you need to explain how you reduced large numbers dude!

Exactly what I was thinking. This has confused me, it's taught me nothing. I'm going to look for a video which explains things more clearly.

This sounded like a math love story haha

the dude looks gay he suxs

thanks love π

Wtf is wrong with you. He took time of his life to try and teach shit to you, its offered help which means that if you don't get it ask or rewatch it, and if you don't like it, fuck you, because its help not a request.

Smartie pants

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i didnt understand you sir ,sorry can you say clear

How did you get 999999?

what the hell is the music for? horrible, you are supposed to be teaching maths not music

clear your voice πππππ

Horrible video it literally pissed me off