SOLUTION: what is the answer to x+2 2/3=5 1/6?

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Question 132295: what is the answer to x+2 2/3=5 1/6?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B2%262%2F3=5%261%2F6 Start with the given equation


x%2B8%2F3=31%2F6 Convert the mixed fractions to improper fractions




%286%29%28x%2B8%2Fcross%283%29%29=cross%286%29%2831%2Fcross%286%29%29 Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



6x%2B16=31 Distribute and multiply the LCM to each side



6x=31-16Subtract 16 from both sides


6x=15 Combine like terms on the right side


x=%2815%29%2F%286%29 Divide both sides by 6 to isolate x



x=5%2F2 Reduce

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Answer:
So our answer is x=5%2F2 (which is approximately x=2.5 in decimal form)