SOLUTION: I need to know how the answer was come up with.. 6 5/9 divided by 1 2/3 =59/15 .. how in the world and where did the 15 come from ?

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Question 290299: I need to know how the answer was come up with.. 6 5/9 divided by 1 2/3 =59/15 .. how in the world and where did the 15 come from ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First note that 6%265%2F9=%286%2A9%2B5%29%2F9=59%2F9 and 1%262%2F3=%281%2A3%2B2%29%2F3=5%2F3


So "6 5/9 divided by 1 2/3" can be restated to "59/9 divided by 5/3" which can be written as %2859%2F9%29%2F%285%2F3%29. Multiply the first fraction by the reciprocal of the second to then get %2859%2F9%29%283%2F5%29=%2859%2A3%29%2F%289%2A5%29=177%2F45=59%2F15 (note: don't forget to reduce)