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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.


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: