To solve this problem, we first have to convert 5 1/2 into an improper fraction. To do this, we multiply the unit (5) times the denominator (2) and then add the numerator (1) to the product, while still keeping the same denominator.

(5 * 2) + 1 = 10 + 1 = 11/2

Now, this makes our expression: 11/2 - 2/3

Next, we have to find a common denominator for 2 and 3 by finding their shared LCM, or least common multiple. In this case, the LCM is 6. This means that we are going to convert both of the fractions in the expression into fractions with the denominator 6, so that we can easily compute the subtraction.

11 * 3 / 2 * 3 - 2 * 2 / 3 * 2

33/6 - 4/6

Now, we can simply subtract the numerators to find our final answer.

29/6

Your final answer is 29/6.

Hope this helps!

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3 years ago