Learn about Converting Improper Fractions to Mixed Numbers In this track, we will learn how to convert an improper fraction into a mixed fraction or a mixed number. And the problem asks us to convert 21/4 into a mixed number or a mixed fraction. Now, we know that 21/4 is an improper fraction because the numerator is greater than the denominator. In order to convert this, here’s what we do. Step one; we divide the numerator by the denominator. Second; we arrange the quotient, the remainder. We use the quotient and the remainder from this particular division. Two, write the mixed to create the mixed number of the mixed fraction. Let’s learn how to do that. So in this case, the first step that we’ll do is we will divide 21 with four. So, 4x5=20 and I’m left with a remainder of 1. Since one is less than four, there’s nothing else I can do. So in this case, what do we know? We know that the quotient equals five. We know that the remainder equals one. So now using this, all I have to do is write the mixed fraction. And the mixed fraction equivalent equals the quotient followed by the remainder over the denominator or the divisor. However you want to put it. Let’s put it as denominator. We could also set divisor but it’s one and the same thing. What this gives me is the value is quotient which is five followed by remainder which is one and the denominator which is four. So, 21/4 is the same as five 1/4. Quickly recapping what we’ve learned in this particular track. In order to convert an improper fraction to a mixed fraction, step one, we divide the numerator by the denominator. We did that. Numerator divided by denominator give us a quotient of five and a remainder of one. And the way I use this is the mixed fraction equivalent equals the quotient space remainder over denominator which gives me five because that’s the quotient, 1/4 because that’s the remainder and the denominator.