SOLUTION: What is 4 2/9 divided by 3 1/6?

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Question 993771: What is 4 2/9 divided by 3 1/6?
Found 2 solutions by stanbon, bwpbruce:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is 4 2/9 divided by 3 1/6 ?
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[(9*4+2)/9] / [(6*3+1)/6]
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= [38/9] / [19/6]
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= (38/9) * (6/19)
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= (2/3)*(2/1)
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= 4/3
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Cheers,
Stan H.
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Answer by bwpbruce(7) About Me  (Show Source):
You can put this solution on YOUR website!
Given:%284+%2B2%2F9%29%2F%283+%2B+1%2F6%29

Multiply by 18/18:
%28%284+%2B2%2F9%29%2F%283+%2B+1%2F6%29%29%2A%2818%2F18%29

Distribute to get:
%2872+%2B+4%29%2F%2854+%2B+3%29

Factor:
%284%2818+%2B+1%29%29%2F3%2818+%2B+1%29

Cancel:
4%2F3