Question 244056
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 <a href="http://www.algebra.com/algebra/homework/NumericFractions/converting-fractions.solver">solver</a>. 



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-7/3=9/2}}}





{{{x-7/3=9/2}}} Start with the given equation.



{{{6(x-7/cross(3))=6(9/cross(2))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{6x-14=27}}} Distribute and multiply.



{{{6x=27+14}}} Add {{{14}}} to both sides.



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



{{{x=(41)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=41/6}}} which approximates to {{{x=6.833}}}.