Convert the following fraction to a mixed number. − 29 6 \frac{-29}{6}

Here we are asked to convert the following improper fraction to a mixed number. Now, I'm going to show you the strategy for doing this, and it may seem a little bit confusing at first because we have this negative sign. But here's what we're going to do. Don't worry about the negative sign right now. We just know that our result for a mixed number is going to be negative. But what I'm going to do is focus on these numbers right here, the 6 that's being divided into 29. I know this because 6 is on the bottom or in the denominator, so that's what's being divided into the larger number 29. Now, what I want to do with this is figure out how many times 6 can go into 29. Now, 6 times 6 is 36, that's too big. 6 times 5 is 30, that's close, but 30 is still bigger than 29. So we're gonna have to go 6 x 4, which 6 times 4 is 24. So we're going to have 29 and then we're going to subtract 24, which is going to give us 5 as a remainder. Now what that means is our whole number here is going to be 4. Our remainder here is going to go on top, and then the 6 here, which is in the denominator will stay in the denominator. So this right here is going to be our mixed number, -4 and 5/6. Hope you found this helpful.