How to Add Fractions with Unlike Denominators

How to Add Fractions with Unlike Denominators

While it may be easy to add whole numbers, the same may not be true when adding fractions especially when they have different denominator...



While it may be easy to add whole numbers, the same may not be true when adding fractions especially when they have different denominators. Therefore, today I will teach you how to add fractions with unlike denominators. 

How to Add Fractions with Unlike Denominators:


Steps

1Write down the fractions that you want to add. Write them like this so it's easy to add. For example, you want to add 1/2 to 1/3. 

2Find a common denominator. The easiest way to find one is to multiply the two denominators. In this case, the denominator is 6. 

3Convert them to like fractions. Like fractions are fractions with the same denominator. For example 1/4, 2/4, and 3/4. You can do this by dividing the common denominator to the denominator of the fraction you will convert then multiplying the result to the numerator of the same. 

For example, we want to convert 1/2 to like fractions with 6 as denominator. 

Hence, we divided 6 (common denominator) by 2 (denominator of the fraction we want to convert). Afterwards, we multiplied 3 (result of the previous step) to 1 (numerator of the fraction we want to convert). The answer is 3. This is the numerator of the converted fraction.  

To check, simplify the converted fraction. In this case, 3/6 when simplified is 1/2. Therefore, we did it right. 

Note: We are not changing the fraction's value. 3/6 is still 1/2. While they may be different in appearance, their value is still the same. 

Do the same with the other fraction. The converted form of 1/3 will be 2/6.



4Since the fractions with unlike denominators are now like fractions, just add the numerator and copy the denominator. Ergo, 1/2 + 1/3 = 5/6. 

If you learned how to add fractions with unlike denominators after reading this, kindly share this article or leave a comment below. 

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Kinaadman: How to Add Fractions with Unlike Denominators
How to Add Fractions with Unlike Denominators
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