Transcript on How to Add Fractions
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This video shows some more examples on adding fractions.

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Let's add 2, and 1/3 together.

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First, let's change 2, into a fraction before adding. We know that, 2 is equals to 2 divides 1.

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So, when we change it into the form of fraction, it becomes 2/1. Therefore, we can change this to 2/1.

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Notice that, we cannot add these 2 fractions because they have unlike denominators.

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Therefore, the only way to add these fractions, is to make them to have like denominators.

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So, how to add fractions? We can do so, by using equivalent fractions.

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Using equivalent fractions, we can change this denominator to 3, by multiplying the numerator and denominator of this fraction with 3.

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This gives the fraction, 6/3.

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Now, with like denominators, we can just add these 2 fractions. This gives 6 plus 1/3.

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Now, 6 plus 1 gives 7. Finally, we have the fraction, 7/3.

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Notice that, 7/3 is an improper fraction. So, rather than leaving the answer like this, it is recommended to change it to a mixed fraction using long division. Here's how.

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7/3 is the same as, 7 divides by 3. Now, this division gives the quotient 2. This quotient is actually the whole number for the mixed fraction.

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Next, we multiply 2 with 3. This gives 6. 7 minus 6 gives the remainder as 1.

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This remainder, 1, becomes the mixed fraction numerator.

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So here, we have the answer in mixed fraction, 2 1/3.

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Now, there something interesting that we should take note.

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Next time, if we have similar question like this, we can quickly get the answer by just combining the whole number, with the fraction.

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Next example, let's add 1 2/3 with, 1/3. How to add fractions? Notice that, this fraction is a mixed fraction.

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So, it is advisable to first convert this fraction to an improper fraction, before we add these fractions. This is to minimize mistakes.

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To do so, we just multiply 3 with 1. This gives 3.

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Now, we add 3 with 2. This gives 5, which becomes the improper fraction's numerator. Now, we have the improper fraction, 5/3.

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Now, since these fractions have like denominators, we can start adding them together.

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This gives 5 plus 1/3. Adding 5 with 1, gives 6. Now, we have the fraction as 6/3.

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Notice that, we can simplifying this fraction by dividing 6 with 3. This gives the answer, 2.

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Next example on how to add fractions, 1 1/2 with 1/3.

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Notice that, this fraction is a mixed fraction. Again, it is advisable to convert it to an improper fraction.

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To do so, we just multiply 2 with 1. This gives 2.

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Now, we add 2 with 1. This gives 3, which becomes the improper fraction's numerator. Now, we have the improper fraction, 3/2.

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Notice that, we cannot add these 2 fractions because they have unlike denominators. Therefore, how to add fractions?

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Therefore, the only way to add these fractions, is to make them to have like denominators. We can do so, by using equivalent fractions.

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Here's how to add fractions. We can make the denominators the same by multiplying 3/2, with the other fraction's denominator 3, and multiplying 1/3, with the other fraction's denominator 2.

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Let's do so. Multiplying 3/2 with 3, and multiplying 1/3 with 2. This gives the equivalent fractions, 9/6, and 2/6 respectively.

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The denominators are now the same.

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Hence, we can now add these two fractions together. This gives 9 plus 2/6.

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Adding 9 with 2, gives 11. With this, we have the fraction, 11/6.

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Notice that, 11/6 is an improper fraction. Now, rather than leaving the answer like this, it is recommended to change it to a mixed fraction, by using long division.

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Here's how. 11/6 is the same as 11 divides 6. Now, this division gives the quotient as 1.

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This quotient is actually the whole number for the mixed fraction.

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Next, we multiply 1 with 6. This gives 6. 11 minus 6 gives the remainder as 5.

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This remainder, 5, is actually the mixed fraction's numerator.

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So here, we have the final answer as, 1 5/6.


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That is all for this lesson. Try out the practice question to test your understanding.

End of Transcript on How to Add Fractions