Add Fractions

This tutorial will discuss strategies for adding fractions and mixed numbers.

Rules for Adding Fractions

Follow these rules for adding fractions.

  1. Make sure the denominators (the bottom numbers) are the same.
  2. Add the numerators (the top numbers only), put the number over the common denominator.
  3. Simplify the fraction (if necessary).

Look at this example:

add fractions

Add Fractions with Unlike Denominators

But what if the denominators are different such as: 1/3 + 1/6

You must find the least common denominator in this case (3 x 6 = 18)

The factions should be changed to have a common denominator so 1/3 + 1/6 ——–> 6/18 +3/18

Follow the above rules: 6/18 + 3/18 = 9/18 then simplify to 1/2.

Add Mixed Numbers

Change mixed numbers to improper fractions then follow the above rules. Once the addition is complete change the answer to a mixed number.

add fractions 2

Watch a Video Tutorial

Here is a video tutorial comparing fractions.

Interactive Class on this Topic

Take an interactive middle school math class on this material, click here.

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