SOLUTION: solve x-2 1/3 = 4 1/2 pls thanks

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Question 244056: solve x-2 1/3 = 4 1/2
pls
thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert the mixed number 2 1/3 to the improper fraction 7/3. How did I get 7/3? First multiply the denominator 3 by the whole part 2 to get 6. Now add the numerator 1 to 6 to get 7. This is the new numerator while the denominator remains the same. So 2 1/3=7/3. If you need more help with fraction conversion, check out this solver.


Apply the same logic to find that 4 1/2 = 9/2


So the equation x-2 1/3 = 4 1/2 then becomes x-7%2F3=9%2F2




x-7%2F3=9%2F2 Start with the given equation.


6%28x-7%2Fcross%283%29%29=6%289%2Fcross%282%29%29 Multiply both sides by the LCD 6 to clear any fractions.


6x-14=27 Distribute and multiply.


6x=27%2B14 Add 14 to both sides.


6x=41 Combine like terms on the right side.


x=%2841%29%2F%286%29 Divide both sides by 6 to isolate x.


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Answer:

So the answer is x=41%2F6 which approximates to x=6.833.