Improper Fractions to Mixed Numbers | Practice Problems Included | Math with Mr. J

Welcome to Math with Mr. J. In this video, I'm going to cover how to convert an improper fraction to a mixed number. We'll go through some examples together, and then I'll give you some practice problems that you can try on your own. Remember, an improper fraction is a fraction greater than or equal to 1. The numerator is greater than or equal to the denominator. So the top is greater than or equal to the bottom. Let's jump into number 1, where we have 13 over 2, 13 halves. We can see that we have an improper fraction here. The numerator is greater than the denominator. So we're going to write this as a mixed number. So we will have a whole number and a fractional part. We go from an improper fraction to a mixed number by dividing the numerator by the denominator. So the top divided by the bottom. So for number 1, we need to do 13 divided by 2. And we will write this off to the side here for number 1. So 13 divided by 2. So how many whole groups of 2 in 13? How many 2's in 13? Well, 6. That gets us to 12. So 6, this is our whole number of our mixed number. Now we multiply. 6 times 2 is 12. Then we subtract. 13 minus 12 is 1. So we have 6, remainder 1. We use that remainder of 1 for our fractional part of the mixed number. So 6 is our whole number. And then our remainder of 1 is the numerator of our fractional part. And then we keep the denominator the same. So we keep that denominator of 2. So 13 halves equals 6 and 1 half. We can always look to see if we can simplify that fractional part of our mixed number. But 1 half is in simplest form. So we are done here. Again, 13 halves, 13 over 2 equals 6 and 1 half. So just keep in mind, all we need to do when going from an improper fraction to a mixed number is divide the numerator by the denominator. Let's move on to number 2 where we have 46 over 8. 46 eighths. Let's write this as a mixed number. So we need to do 46 divided by 8. How many whole groups of 8 in 46? How many 8s in 46? Well, 5. That gets us to 40. So 5 whole groups of 8. That gets us to 40. So we have a remainder of 6. That's our numerator. And then we keep our denominator of 8. So we end up with 5 and 6 eighths. Now 6 eighths can be simplified. We have a common factor of 2 that we can divide 6 and 8 by. So let's simplify here. We can divide 6 by 2 and 8 by 2. 6 divided by 2 is 3. And then 8 divided by 2 is 4. So this simplifies to 3 fourths. And we have 5 and 3 fourths now, which is in simplest form. For number 2, we did this one without writing the division out off to the side. Either way will work. So use what works best for you. To show number 2 written out, we can do 46 divided by 8. So 46 divided by 8. How many groups of 8 in 46? 5. Multiply. 5 times 8 is 40. Subtract. 46 minus 40 is 6. So we get 5 remainder 6. 5 is our whole number. Then that remainder of 6 is our numerator. Then we keep that denominator of 8. So we end up with 5 and 6 eighths, which we were able to simplify. And we ended up with 5 and 3 fourths. Let's move on to number 3, where we have 35 over 5. 35 fifths. So we need to divide. We need to do 35 divided by 5. Well, how many whole groups of 5 in 35? How many 5s in 35? 7. And that hits 35 exactly. So 7. And again, that hits 35 exactly. We do not have a remainder here. Since we don't have a remainder, we don't have a fractional part. We just have a whole number. And we are done. 35 fifths equals 7. Again, we don't have a remainder. So this works out to be just a whole number. Lastly, let's move on to number 4, where we have 29 over 12. 29 twelfths. So we need to write this as a mixed number. Let's divide. So 29 divided by 12. How many whole groups of 12 in 29? How many 12s in 29? Well, 2. That gets us to 24. So 2 whole groups of 12. That gets us to 24. So we have a remainder of 5. That's our numerator. And then we keep that denominator of 12 the same. So we end up with 2 and 5 twelfths. 5 twelfths is in simplest form. So we are done. 29 twelfths equals 2 and 5 twelfths. So now that we've gone through some example problems together, it's time for you to try some practice problems on your own. So have paper and a pencil ready. So here are your practice problems. Write each improper fraction as a mixed number. I'll give you 3 minutes and then we will go over the answers. Feel free to press pause if you need more time or jump ahead to the answers whenever you are ready. Go ahead and start. Okay, so that was 3 minutes. Let's go over the answers. So here are our answers. For number 1, 19 sixths equals 3 and 1 sixth. For number 2, 27 fourths equals 6 and 3 fourths. For number 3, 58 tenths equals 5 and 8 tenths, which can be simplified to 5 and 4 fifths. And then lastly, for number 4, 14 sevenths equals 2. We did not have a remainder for that one. So it's just a whole number. So there you have it. There's how to write improper fractions as mixed numbers. I hope that helped. Thanks so much for watching. Until next time, peace.