So, welcome to my video on subtracting mixed numbers. Here, we have 3 and 3/4 being subtracted by 1 and 7/8. The first thing I like to do, and I wrote this for you in green, is to convert the mixed numbers to improper fractions and then subtract. I do realize that there are quicker ways to subtract mixed numbers; however, this method which I'm teaching is guaranteed to work the same way for every single problem. Whereas the other methods that might be a little quicker are not guaranteed to work the same way for every single problem. So, let's just get started right away. Let's convert our mixed numbers into improper fractions. We'll start with 3 and 3/4. Since this mixed number has a 4 in the denominator, our improper fraction is also going to have a 4 in the denominator. In the numerator, we have to multiply the denominator 4 with the whole number of 3. So, 4 times 3 is equal to 12. And then, we have to add that with our numerator of 3. This is all being subtracted with 1 and 7/8. So, let's do the same thing with this mixed number. Let's change it into an improper fraction. Since it has a denominator of 8, the improper fraction is also going to have a denominator of 8. In the numerator, we multiply the 8 by the whole number of 1. 8 times 1 is 8. And then, we add all that to the numerator of 7. Let's simplify these two fractions. In the first fraction, we have 12 plus 3 in the numerator. 12 plus 3 is equal to 15, and our denominator stays the same. This is all being subtracted by our second fraction, which has a numerator of 8 plus 7,...
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