How do you add 2 fractions with different denominators?

How do you add 2 fractions with different denominators? :
Adding fractions with different denominators can be a bit tricky , but it’s really not that bad once you understand the basics . In this blog post, we’ll walk you through the basics of adding fractions, show you how to add fractions with different denominators, and give you a few tips to make the process a bit easier.

The Basics of Adding Fractions

Before we dive into adding fractions with different denominators, let’s review the basics of adding fractions with the same denominator. When you’re adding fractions, you’re really just finding a common denominator and then adding the numerators.

For example, let’s say you’re adding the fractions ¼ + ⅜. To add these fractions, you would first find a common denominator. In this case, the lowest common denominator is 8. Once you have the common denominator, you would add the numerators, which would give you 6/8 + 8/8 = 14/8.

To find a common denominator, you can either find the lowest common denominator (LCD) or you can convert the fractions to equivalent fractions with the same denominator. To find the LCD, you would simply find the smallest number that is a multiple of both 4 and 8, which is 8. To convert the fractions to equivalent fractions with the same denominator, you would multiply the numerator and denominator of each fraction by a number so that the denominators are the same. In this case, you would multiply ¼ by 2 to get 2/8 and ⅜ by 2 to get 6/8.

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Adding Fractions with Different Denominators

Now that we’ve reviewed the basics, let’s look at how to add fractions with different denominators. When you’re adding fractions with different denominators, you’ll again need to find a common denominator. The process for finding a common denominator is the same as before, but it can be a bit more difficult to find the LCD when the denominators are different.

One way to find the LCD is to list the multiples of each denominator until you find a common multiple. For example, let’s say you’re adding the fractions ¾ + ⅝. The first few multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and the first few multiples of 5 are 5, 10, 15, 20, 25, 30. As you can see, the first common multiple is 30.

Another way to find the LCD is to convert the fractions to equivalent fractions with the same denominator. To do this, you would multiply the numerator and denominator of each fraction by a number so that the denominators are the same. In our example, we would multiply ¾ by 4 to get 3/12 and ⅝ by 6 to get 9/24. The LCD is 12.

Once you have the LCD, you can add the fractions like you would any other fraction. In our example, we would have 3/12 + 9/24, which would give us 12/24 + 9/24 = 21/24.

A Step-by-Step Example

Let’s walk through an example to see how this works in a bit more detail. Say you’re adding the fractions ¾ + ⅚.

To find the LCD, we’ll list the multiples of 3 and 5 until we find a common multiple. The first few multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and the first few multiples of 5 are 5, 10, 15, 20, 25, 30. As you can see, the first common multiple is 30.

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To convert the fractions to equivalent fractions with the same denominator, we’ll multiply the numerator and denominator of each fraction by a number so that the denominators are the same. In our example, we’ll multiply ¾ by 10 to get 30/30 and ⅚ by 6 to get 36/30.

Now that we have the LCD, we can add the fractions. So, we have 30/30 + 36/30, which gives us 66/30.

Tips for Adding Fractions

Here are a few tips to make adding fractions a bit easier:

-Find a common denominator before adding the fractions. This will make the process much simpler.

-If you’re having trouble finding the LCD, try converting the fractions to equivalent fractions with the same denominator.

-Make sure to simplify the final answer if possible. In our example, we ended up with 66/30, which can be simplified to 11/5.

Adding fractions with different denominators can be a bit tricky, but it’s really not that bad once you understand the basics. In this blog post, we’ve walked you through the basics of adding fractions, shown you how to add fractions with different denominators, and given you a few tips to make the process a bit easier.
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Additional Question — How do you add 2 fractions with different denominators?

How do you add fractions with the same denominators?

How do you add fractions with whole numbers and different denominators?

How do you add fractions with unlike denominators step by step?

To add fractions with unlike denominators, you should:
Find the common denominator.
Rewrite each fraction using the common denominator.
Add the numerators.
Carry across the common denominator.
If possible, reduce the final fraction.

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Dannie Jarrod

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