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 the expression 4 1/2 − 2 − 5 2/3, we first need to convert all the mixed numbers into improper fractions.

4 1/2 = 9/2
5 2/3 = 17/3

Now we can rewrite the expression as:

9/2 - 2 - 17/3

To simplify the expression, we need a common denominator. The least common multiple of 2 and 3 is 6, so we can rewrite the expression as:

(9/2)(3/3) - (2)(3/3) - (17/3)(2/2)
= 27/6 - 6/6 - 34/6

Now we can subtract the fractions:

27/6 - 6/6 - 34/6
= (27 - 6 - 34)/6
= -13/6

So the answer is -13/6, which can also be expressed as -2 1/6. Therefore, the correct answer is:

D. -4 1/6