**Mike J**answered

What you want to do here is find the **least common denominator **(LCD) for the two fractions. This is similar to least common multiple. To do this, list multiples of both denominators. The lowest number that both numbers have as a common multiple will be your least common denominator.

- 3: 3, 6, 9,
**12**. - 4: 4, 8,
**12**.

The common denominator is 12, so you will change the denominator for both fractions to 12.

How do you do this? - We'll start with 2/3. You want to change the denominator from 3 to 12. In order to do so, you need to multiply the denominator by 4. What you do to the denominator, you must also do to the numerator. So, multiply 2 and 3 by 4.

Your 2/3 will now change to

**8/12**. Keep this in your back pocket for later, as you'll need it to solve the problem.Now you want to change 2/4 to a fraction with a denominator of 12. To change the denominator to 12, multiply 4 by 3. Do the same to the numerator by solving 2 times 3. Your new fraction is

**6/12**.Now, to find the sum of both fractions with common denominators, just add the numerators together.

8/12 + 6/12 = 14/12, which simplifies to

**7/6**.If you need to list it as a mixed number, your answer would be

**1 and 1/6**.So you have two different answers you can use,

**7/6**or**1 and 1/6**.