Adding fractions with unlike denominators means we need to add fractions that have different denominators. In this case, we convert the given fractions to like fractions to get common denominators so that it becomes easier to add them. This is done by finding the Least Common Multiple (LCM) of the given denominators. We convert each fraction in such a way so that we have a common denominator, and then we add the numerators to get the sum. Show
In this article, we will learn how to add fractions with different denominators stepwise. We will also discuss the addition of mixed fractions with unlike denominators along with a few solved examples for a better understanding of the concept. What is Adding Fractions with Unlike Denominators?When the denominators are not the same, the fractions are known as unlike fractions. For example, 3/5 and 6/7 are called unlike fractions because they have different denominators. To add two or more given fractions, whose denominators are unlike or different, we need to find the Least Common Multiple (LCM) of the denominators. After finding the LCM, we multiply the given fractions with such a number so that their denominators remain common. After making the denominators equal, we can simply add the numerators. Steps For Adding Fractions with Unlike DenominatorsThe following steps show the procedure for adding fractions with unlike denominators.
These steps can be understood with the help of the example given in the following section. How to Add Fractions with Unlike Denominators?Now, let us learn how to add fractions with unlike denominators by following the steps given above. Example: Add 5/6 + 7/3 Solution:
Adding 3 Fractions with Different DenominatorsFor adding three or more fractions with unlike denominators we apply the same steps as given above. Let us learn how to add 3 fractions with different denominators with the help of the following example. Example: Add 1/2 + 3/5 + 7/3
Adding Mixed Numbers with Unlike DenominatorsIf we need to add mixed numbers with unlike denominators, we convert the mixed fraction to an improper fraction. After this, we can add the fractions by following the steps given above. Let us understand this with the help of the following example. Example: Add \(5\dfrac{1}{7}\) and \(4\dfrac{1}{5}\) First, convert the mixed number into an improper fraction. \(5\dfrac{1}{7}\) = 36/7 \(4\dfrac{1}{5}\) = 21/5 Now add 36/7 and 21/5 LCM of 7 and 5 is 35 Equivalent fractions 36/7 = 180/35 21/5 = 147/35 Now add the numerators, (180 + 147)/35 = 327/35 = \(9\dfrac{12}{35}\) Important Notes on Adding Fractions with Unlike Denominators
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FAQs on Adding Fractions with Unlike DenominatorsHow to Add Fractions with Different Denominators?Adding fractions with unlike denominators means that two fractions that have different denominators need to be added. In this case, we convert the given fractions to like fractions to get common denominators so that it becomes easier to add them. This is done by finding the Least Common Multiple (LCM) of the given denominators. We need to convert each fraction in such a way so that we have a common denominator and after that, we add the numerators to get the sum. What are the Examples of Adding Fractions with Unlike Denominators?An example of adding fractions with unlike denominators is given as follows. Let us add 1/3 + 6/5.
What is the Strategy for Adding Fractions with Unlike Denominators?The strategy for adding fractions with unlike denominators is to find the LCM of the given denominators and make each fraction as an equivalent fraction with the LCM as the denominator. What are the Steps For Adding Fractions with Unlike Denominators?The steps for adding fractions with unlike denominators are given below. Let us understand this with an example and add 1/5 + 1/10
Can we Add Fractions with Unlike Denominators Without Using LCM?No, we cannot add fractions with unlike denominators without using the LCM. What is the Rule for Adding Fractions with Unlike Denominators?The basic rule for adding fractions with unlike denominators is to find the LCM of the different denominators and convert the given unlike fractions into like fractions. This can be done by changing their denominators equal to the LCM. Once the denominators become the same, the numerators can be added. How to Add 3 Fractions with Different Denominators?In order to add 3 fractions with different denominators, we use the same rules that are used for adding 2 fractions with different denominators. For example, let us add 1/6 + 1/3 + 1/2 We need to find the LCM of 6, 3, and 2 which is 6. Now, we will convert each fraction into an equivalent fraction using LCM as the denominator. 1/6 = 1/6 1/3 = 2/6 1/2 = 3/6 Now, add the numerators of these fractions which is: 1/6 + 2/6 + 3/6 = (1 + 2 + 3)/6 = 6/6. This fraction can be further reduced to 1 after simplifying. How to Add and Subtract Fractions with Different Denominators?In order to add and subtract fractions with different denominators, we use the same rules. We need to find the LCM of the different denominators and convert the given unlike fractions into like fractions. After this step, we add or subtract the numerators according to the question. How to Add Fractions with Whole Numbers and Different Denominators?In order to add fractions with whole numbers and different denominators, we should write the whole number in its fraction form, that is, write 1 as its denominator and then add it using the same rules for the addition of fractions. For example, let us add 6 + 3/4 + 1/2.
How to Add Improper Fractions with Different Denominators?In order to add improper fractions with different denominators, we use the same rules that are used for the addition of fractions. For example, let us add these improper fractions with different denominators: 7/2 + 8/3.
What is the easiest way to add fractions with unlike denominators?You simply use the product of the two denominators as a common denominator. Then, in order to bring both fractions on that common denominator you only need to multiply the numerator of each by the denominator of the other. Easy!
When adding two fractions with different denominators What is the first step?Adding Fractions. Step 1: Make sure the bottom numbers (the denominators) are the same.. Step 2: Add the top numbers (the numerators), put that answer over the denominator.. Step 3: Simplify the fraction (if possible). |