Hey guys, first fraction we're going to simplify is 8 tenths. To simplify fractions we're going to be canceling out like factors. And by that I mean we're going to separate the top and bottom numbers into their factors. Like 8 can be thought of as 2 times 4 and 10 can be thought of as 2 times 5. Cross out the like factors, cross out the twos and you're left with 4 fifths. Next up 4, 16ths. They're both even so we'll just think of 4 as 2 times 2. And we'll think of 16 as 2 times 8. Cross out the like factors and we're left with 2 eighths. But you can separate 2 into 2 times 1 and 8 into 2 times 4. Cross out the like factors and you're left with 1 fourth. Now this would be faster if you just realize that they share the factor of 4. Like 4 is 4 times 1 and 16 can be thought of as 4 times 4. Then you just cross out the fours and you're left with 1 fourth. Remember you can only cancel them out when the numbers match. Next up 2 12ths. Now 2 can only be thought of as 1 thing and that's 2 times 1. And then 12 you can think of as 2 times 6. Cross out the like factors and you're left with 1 sixth. Next up 6 24ths. Think of some factors of 6 like 2 times 3 and we'll think of 24 as 2 times 12. Cross out the like factors and then you realize that they still share a factor so 3 can be thought of as 3 times 1 and 12 can be thought of as 3 times 4. Cross out the like factors and you're left with 1 fourth. A quicker way to do it would have been to realize that they share the factor of 6. So 6 can be thought of as 6 times 1 and 24 can be thought of as 6 times 4. Cross those out and you're left with 1 fourth. Next up 4 48ths. We'll just separate 4 into 2 times 2 and 48 into 2 times 24 which is half 48. Cross out the 2s. And they're still even so you can simplify it further. 2 into 2 times 1. 24 into 2 times 12. Cross out the like factors and you're left with 1 12th. A quicker way would have been to realize that they share the factor of 4. 4 is 4 times 1 and 48 is 4 times 12 and then cross out those like factors. 6 21. 6 can be thought of as 3 times 2 and some factors of 21 are 3 times 7. Cross out the like factors and then cross out those like factors. And you're left with 2 7s. And that's it. Nice work. See ya.