Let's talk about how to convert an improper fraction to a mixed number without using long division. 11 over 4. We can write that as 8 over 4 + 3 over 4. 8 + 3 is 11 and 8 is the highest multiple of 4 just under 11. Now 8 / 4 is 2 and 2 + 34s we can write that as 2 and 3/4s. So that's how you can convert an improper fraction to a mixed number without using long division. Now what about 17 over 5? We could break down 17 into 15 + 2. The denominator must be the same. So 15 over 5 + 2 5 is 17 over 5. Now 15 / 5 is 3 and 3 + 2s is 3 and 2 fths. Now, let's try some harder examples with bigger numbers. Feel free to try this one. 53 / 6. Now, you might be wondering, what two numbers should I break down 53 into? What you want to do is find the highest multiple of six just under 53. So, if you're not sure, you could list out the multiples of six. You really don't need to go past 10. If you get the first nine, you'll have everything that you need typically in most cases. Now, the highest multiple of six just under 53 is 48. So, I'm going to break down 53 into 48 + 5. To miss the number five, you can get it by subtracting 53 by 48. It'll give you five. The denominator must be the same. Now, 48 / 6 is 8. And 8 + 5 / 6 as a mixed number, we can write that as 8 and 56. Let's try one more example. 45 over 7. So, what two numbers should we break down 45 to? Let's write out the multiples of seven. So notice that the highest multiple of 7 just under 45 is 42 and 45 - 42 is 3. So I'm going to break down 45 over 7 into 42 over 7 + 3 7. 42 / 7 is 6 as we could see here. So we have 6 + 37th. So as a mixed number that's going to be 6 and 37th. And you could check your work to convert the mixed number back into an improper fraction. Keep the denominator the same. Multiply 6 and 7, which is 42 + 3. That's 45.