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How To Divide Mixed Fractions

How To Divide Mixed Fractions

In this video, Charles from Maximum workshop will describe to you how to divide mixed fractions in detail, step by step. Math can be easy with a little help!

Hi, my name is Charles and I'm one of the math teachers from the Maximum workshop. I'm just going to teach you how to do some math. I'm going to demonstrate how you divide mixed fractions.

Alright, mixed fractions are generally composed of an integer and a fraction part. So, the two mixed fractions that we're going to use now are 1 and 2/5 divided by 2 and 1/3. Now the first thing you want to do when you're dividing these two fractions is to bring together this integer into this fraction.

I had to add them together. So, what we do is we set up the one, and we look at the denominator, or this fraction here and we see that it's 5. So, we want to generally place a denominator for this one and a numerator for this one, so it can directly add to the 2/5 that we have here.

Now, the easiest one to use is 5/5. So, that's 5 divided by 5. Now, remember, the benefit of doing that - having the same denominator - is just so that you can add the tops.

Now, with this, same thing happens. What we want to do is to convert this integer, 2, into a fraction where you have a denominator of 3 so we can add the tops. And, the denominator that we use, being 3, will imply that we have 6 on the top.

6 divided by 3 is 2. So, and then we add 1/3 to this. So now, what we do, we can just add the tops to the tops and just write the denominators.

So for this, we have 7/5 divided by 7/3. Okay, so we add the tops here, add the tops here, and we've written the denominators for both fractions. Now, in order to understand what's happening, this generally looks like any other fraction that you would find.

By 7/5 divided by 7/3. But, this is a little bit complicated to actually resolve. So all we do in math, is generally convert this to a multiplication sign and flip this fraction.

And that's the equivalent of doing 7/5 divided by 7/3. So we can see that we've flipped this fraction on its head to make 3 7ths and then change the division sign to a multiplication sign. Now, before we start multiplying the tops and multiplying the bottoms, we should check to see if there's any numbers on the tops that can be canceled by numbers on the bottom.

So, once we bring that together, we can see that we have 7 here and 7 here. Those two are cancelled. Just 7 divided by 7 would cancel to equal 1.

So, any number that you find on the top can be cancelled with any number that you find on the bottom. So, in essence, we have here 3/5 as our answer. And, that's pretty much how to change these mixed fractions, first of all, into fractions that you can manipulate a lot more easier into this multiplication.

So remember, try to actually get your integers (mixed fractions) into basic fractions. So, 1 would be 5 divided by 5. 2, 6 divided by 3.

And then you can bring together your mixed fractions as single fractions. They may be improper, but it will allow you to deal with the division a lot more easier. And then, you flip one of the fractions and convert the division sign into a multiplication sign.