Here are the steps for adding fractions with different denominators. We will break-down each step** just like before** to make sure you’ve got it.

**So, here are the steps.**

- Build each fraction so that both denominators are equal.
**Remember**, when adding fractions with different denominators, the**denominators must be equal**. So we must complete this step first. - Re-write each equivalent fraction using this
**new**denominator - Now you can add the numerators, and keep the denominator of the equivalent fractions.
- Re-write your answer as a simplified or reduced fraction, if needed.

We know this sounds like a lot of work, and it is, but once you understand thoroughly **how to find the Common Denominator or the LCD**, and build equivalent fractions, everything else will start to fall into place. So, let’s **take our time** to do it Right!

But** keep in mind**, if you are doing homework, be sure to answer the problems in the **form asked for** in the assignment.

### Adding Fractions with Different Denominators

### Add 1/2 + 1/3

### +

**Notice that the overall size of our point of reference**

**(The Whole) is EXACTLY the same.**

**Step #1** in our rule tells us that the denominators **must** be equal. And the easiest way to find a common denominator is to just **multiply** the denominators.

So let’s do that now…

### 2 x 3 = 6

**The Common Denominator for 1/2 and 1/3 is 6**

**Step #2** – Re-write each equivalent fraction using this new denominator.

Since…

### 1/2 is equivalent to 3/6

And…

### 1/3 is equivalent to 2/6

We re-write our equation to read…

### Add: 3/6 + 2/6

Now we are ready to do **Step #3** – **ADD** the numerators, and keep the denominator of the equivalent fractions (which is 6).

**So, we end up with…**

### 3/6 + 2/6 = (3 + 2 )/6 = 5/6

### +

### =

Finally, **Step #4 – Re-write** your answer as a simplified or reduced fraction, if needed.

In our example, the answer **(5/6)** is already in its **simplest form**. So, no further action is required!

That’s It!

A **quick and easy** way to add fractions with different denominators.