Evaluate 4 1/2 − 2 − 5 2/3

Question

A. –3 1/6
B. 12 1/6
C.2 1/6
D. -4 1/6

Answer 1

To evaluate this expression, we need to perform the calculations in the correct order following the order of operations (PEMDAS).

First, we need to subtract 2 from 4 1/2:
4 1/2 - 2 = 3 1/2

Next, we need to subtract 5 2/3 from the result we just found:
3 1/2 - 5 2/3

To subtract these mixed numbers, we need to find a common denominator:
2/3 * 2/2 = 4/6
So, the expression becomes:
3 1/2 - 5 4/6

Now we can subtract the whole numbers and fractions separately:
3 - 5 = -2
1/2 - 4/6

To subtract fractions, we need a common denominator:
2/2 * 3/3 = 6/6
So, the expression becomes:
1/2 - 4/6 = 3/6 - 4/6 = -1/6

Putting it all together, we have:
-2 - 1/6 = -2 1/6

Therefore, the answer is:
D. -4 1/6