Evaluate 4 1/2 - 2 - 5 2/3

To evaluate 4 1/2 - 2 - 5 2/3, we need to subtract each term one by one.

First, let's subtract the whole numbers: 4 - 2 - 5 equals -3.

Next, let's subtract the fractions separately.

To subtract the fractions 1/2 and 2/3, we need to find a common denominator. The least common multiple of 2 and 3 is 6, so we can convert both fractions to have 6 as the denominator.

1/2 can be converted to 3/6 by multiplying the numerator and denominator by 3.
2/3 can be converted to 4/6 by multiplying the numerator and denominator by 2.

Now that the fractions have a common denominator, we can subtract them: 3/6 - 4/6 equals -1/6.

Putting everything together, we have -3 - 1/6. We can write this as a single fraction by converting -3 to -18/6:

-3 = -18/6

Therefore, -3 - 1/6 can written as -18/6 - 1/6, which equals -19/6.

So, 4 1/2 - 2 - 5 2/3 equals -19/6.