# Adding & Subtracting Fractions

In order to add or subtract fractions, the denominators
have to be the same.

When the denominators are the same, then we can add/subtract.

**Step 1: Find the Lowest Common Denominator (LCD)**

Find the LCD by figuring out the Least Common Multiple (LCM). For example:

2 • 3 = 6 Thus the LCD = 6

**Step 2: Multiply numerator and denominator by the
number you used to make the LCD.**

Here we use “3” because ← Here we use “2”
because 2 • 3 = 6

After we multiply everything, we end up with this:

**Step 3: Add/Subtract numerators together and keep
denominators the same.**

Reduce if possible; if not, you are done!

**Multiplying Fractions**

When multiplying fractions, multiply straight across.

Reduce if possible.

**Example 1:**

**Example 2:**

Both have a factor of six that cancels out.

**Dividing Fractions**

Flip & Multiply

We flip the second fraction, then multiply straight across. Then reduce, both have a factor of 2 that cancels out.

**Clearing Fractions**

We can ONLY clear fractions when there is an equal sign.

Equation:

**Step 1: Find the LCD**

**Step 2: Multiply everything by LCD, clear the
fractions, & then reduce:**

Simplify and Solve 6 + 4X = 1

Subtract 6 from both sides

Divide by 4 on both sides to isolate the X: