9v - 8(10v - 9) = 9v - 80v + 72 = <u>-7</u><u>1</u><u>v </u><u>+</u><u> </u><u>7</u><u>2</u>
Well as you can see 5 x 2/3= 3 1/3 there is 7 steps to figure it out
1. set up the problem
5 x 2/3
2. put a 1 on 5 to make it a fraction
5/1 x 2/3
3. multiply and divide
(5 x 2) / (1/3)
4. find out the answer
10/3
5. turn the answer into a mixed fraction
10 divided by 3= 3.1 3 stays the same you don't need to say 1
6. it equals
3 1/3
7. so the answer is
3 1/3
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.