How To Convert An Improper Fraction To A Mixed Number

Hi, I'm Rebecca. And in this film we're going to look at how to convert an improper fraction into a mixed number. Now, an improper fraction is a fraction where the numerator is equal to or greater than the denominator. And to convert it into a mixed number, we need to know how many whole ones we can make and what fraction remainder will be left over. Now, a really good place to start is with concrete apparatus, and I've got some magnetic fraction pizza slices here, and they're really good for children to manipulate. You can see here with the fraction seven sixths that I have six, six, which is equal to one whole, but there is also one six left over. Now we can move on to the pictorial method. And I'm going to use a bar model. I've drawn two bars divided equally into six to show that six, six equals to one whole. And I'm going to see how many I can get. So I have 1, 2, 3, 4, 5, 6, which is one whole, and I have one left over. So again, we can write that as 1 1/6. Now, to look at that numerically as a number sentence, what we did is we wanted to know how many sixes there are in seven. So we did seven divided by six, which we know is equal to one remainder one, which we can write again as one and one sixth. Let's just have a look at another example here. I have 15 sixths. I'm going to do the same thing. How many sixes are there in there? 1, 2, 3, 4, 5, 6. That's one whole. 12 sixes is two wholes, and I have three left over. So I can write 15, 6 as 2 and 36 and as a number sentence. What we wanted to know again was how many sixes are there in 15? 15 divided by 6 equals 2 remainder 3, which is equal to 2 and 3, 6. So two simple steps. Divide the numerator by the denominator and write the remainder as a fraction. And that's how to convert an improper fraction into a mixed number.