SOLUTION: What is 6 1/3 divided by 5 1/2 = x/6?

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Question 342342: What is 6 1/3 divided by 5 1/2 = x/6?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the mixed numbers to fractions,
6%2B1%2F3=18%2F3%2B1%2F3=19%2F3
5%2B1%2F2=10%2F2%2B1%2F2=11%2F2
Dividing by a fraction is the same as multiplying by its reciprocal,
%2819%2F3%29%2F%2811%2F2%29=x%2F6
%2819%2F3%29%282%2F11%29=x%2F6
x%2F6=38%2F33
Multiply both sides by 6.
highlight%28x=76%2F11%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is 6 1/3 divided by 5 1/2 = x/6?
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(19/3)/(11/2) = x/6
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(19/3)(2/11) = x/6
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(38/33) = x/6
x = 6(38/22)
x = 228/22
x = 114/11
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Cheers,
Stan H.