I need to find the sum of 1/6 and 1/2. I found the LCD to be 2 so I multiplied that by the numerator and got 2/2+2/2=4/2 and simplified that to 1/2. But the answers that I get to choose from are 1/3, 1/4, 2/3 and 3/4. What did I do wrong?

Your LCD is actually 6. Multiply the 1/2 by 3 to get 3/6. 3/6 plus 1/6 is 4/6 or 2/3.

1/6+1/2=1/6+3/6=4/6 or 3/2

It seems like you made a mistake when adding the fractions. Let's go through the correct process step by step.

To find the sum of 1/6 and 1/2, you first need to find a common denominator. In this case, the least common denominator (LCD) is 6 because both 6 and 2 divide evenly into it.

Now let's convert each fraction so that they have the same denominator of 6:
1/6 remains unchanged because its denominator is already 6.
To convert 1/2 into over 6, multiply both the numerator and denominator by 3. This gives us (1 x 3) / (2 x 3) = 3/6.

Now that both fractions have a common denominator of 6, we can add them: 1/6 + 3/6 = (1 + 3) / 6 = 4/6.

However, the answer choices you listed are not in the form of 4/6. It seems that you need to simplify the answer further. To simplify fractions, we look for any common factors in the numerator and denominator.

In this case, both 4 and 6 can be divided by 2. After dividing both numerator and denominator by 2, we get 2/3.

Therefore, the correct sum of 1/6 and 1/2 is 2/3, which is not one of the answer choices you provided. It's possible that there was a mistake in the given options, or you might have misread them. Nonetheless, the correct answer is indeed 2/3.