Addition of fractions explained by examples

Learn how to add fractions. Generally, the addition of fractions can be done in two methods. The first method is by taking L.C.M of denominators. The second method is by converting given fractions to like fractions.

Addition of fractions

In these two methods, most of the students will feel that converting into like fractions and adding the fractions is easy and simple. But whatever may be the method the result will be the same. Now I will explain the addition of fractions by the two methods by taking some examples.

Addition of fractions by taking L.C.M: 

Let the two fractions be 2/5 and 7/9. In this method, if we need to add these two fractions first we should find L.C.M of denominators. In this example, we have to find L.C.M of 5 and 9.

L.C.M of 5, 9 is 45.

Addition of fractions

 

 

Therefore, addition of fractions 2/5 and 7/9 gives the result 53/45.

Addition of fractions by converting them into like fractions:

Let the fractions be 3/10 and 11/5. As both given fractions are unlike fractions, so we should convert them as like fractions. Like fractions means the denominators in the given fractions should be the same.

For converting into like fractions we have to find L.C.M of 10 and 5.

L.C.M of 10 and 5 is 10. After finding L.C.M, now we should make both the fractions denominators as 10.

In the first fraction we have denominator as 10, so no problem. In the second fraction the denominator is 5. So we need to convert second fraction denominator as 10. For that take the second fraction and multiply numerator and denominator by 2. Then the result will be

11 x 2 / 5 x 2

= 22 / 10

Now the second fraction is 22/10.

Finally, we can add the two fractions 3 / 10 and 22 / 10, as both the fractions are like fractions. For the result, we can directly add numerators.

Addition of fractions

 

 

Hope you understood the addition of fractions by the two methods.

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