Adding Fractions

Adding Fractions

Author: Melissa Luna
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Introduction to Psychology

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What are we doing?

For tonight's lesson, we will be moving on to learning how to add Fractions with same and different denominators. You will watch the videos I have provided for you, read the examples, and then answer the questions at the end. Please have questions ready for me when we begin tomorrow's math class. Don't forget to take notes.

Add Fractions with Like Denominators

Same Denominator

Adding with same denominator

Here we do not need to worry about lowest common denominators or least common multiples because the denominators are already the same. All we add here is the 1 plus 2 which equals 3. The denominator remains the same.

Adding Fractions with Unlike Denominators

Different Denominator

Adding with different denominator

You can see here that the denominator has been changed to the least common multiple (LCM), this way we make it easier to add. We know that 2 and 3 (the denominators) go into 6 equally. Now that we have chosen 6 to be the LCM, we have to understand what number times 2 equals 6, which is 3. We then multiply 3 by the nominator and the denominator to make a a new form of the fraction which becomes 3/6; three over six,

1 X 3 = 3

2 X 3 = 6  = 3/6 (three over six)

The same is done with 1/3, 3 times 2 is 6. 6 is the new dominator and to make the new nominator we then must multiply the nominator also by 2.

1 X 2 = 2

3 X 2 = 6 = 2/6 (two over six)




How to Add Fractions (both in one)

Watch this video, it shows adding fractions examples of both with different and same denominators.