Evaluate 4 1/2−2−5 2/3

Question

A
–3 1
6 –3 1 6
B
12 1
6 12 1 6
C
2 1
62 1 6
D
–4 1/6

Answer 1

To evaluate 4 1/2 − 2 − 5 2/3, we need to simplify each fraction and then perform the subtraction operation.

First, we simplify 4 1/2 to an improper fraction:
4 1/2 = (4 * 2 + 1)/2 = 9/2

Next, we convert 5 2/3 into an improper fraction:
5 2/3 = (5 * 3 + 2)/3 = 17/3

Now, we can rewrite the expression as:
9/2 - 2 - 17/3

To simplify this expression further, we need to find a common denominator for 2 and 3, which is 6. We can rewrite 2 as 12/6 and 17/3 as 34/6.

Now, the expression becomes:
9/2 - 12/6 - 34/6

To subtract fractions, we keep the denominators the same and subtract the numerators:
(9 - 12 - 34)/6 = -37/6

So, the simplified expression is -37/6.

Therefore, the answer is D. –4 1/6.