What is 2 and 1-sixth times 2 and 2-thirds?

Answer options with 4 options
A.
4 and 1/9

B.
4 and 1/3

C.
5 and 11/18

D.
5 and 7/9

To solve this problem, we can multiply the whole numbers together and the fractions together separately.

First, multiply the whole numbers:
2 times 2 equals 4.

Next, multiply the fractions:
1/6 times 2/3 equals (1 times 2) divided by (6 times 3) which equals 2/18.

Lastly, add the whole numbers and the fractions together:
4 plus 2/18 equals (72/18 plus 2/18) which equals 74/18.

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
74/18 simplified is equal to (37/9).

Therefore, the answer is 4 and 1/9 which corresponds to option A.