SOLUTION: I need help with 2 2/11 divided by 6.

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Question 402991: I need help with 2 2/11 divided by 6.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%262%2F11 is the same as 2%2B2%2F11=22%2F11%2B2%2F11=%2822%2B2%29%2F11=24%2F11


Basically, 2%262%2F11=24%2F11


So "2 2/11 divided by 6" also means "24/11 divided by 6"


We can also think of 6 as the fraction 6/1


So "24/11 divided by 6" also means "24/11 divided by 6/1"


This all translates into %2824%2F11%29%2F%286%2F1%29


Now flip the second fraction and multiply to get %2824%2F11%29%281%2F6%29=%2824%2A1%29%2F%2811%2A6%29=24%2F66=4%2F11


So %2824%2F11%29%2F%286%2F1%29=4%2F11


Since every expression I've shown (above) is equal to one another, this by extension means that


%282%262%2F11%29%2F%286%29=4%2F11


So the answer is 4%2F11