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How To
Home›How To›How to Add Mixed Numbers: 11 Steps

How to Add Mixed Numbers: 11 Steps

By Matthew Lynch
March 24, 2024
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Adding mixed numbers may seem daunting, but with the right approach, it can be easy and fun. Here’s a simple guide to help you understand and add mixed numbers in 11 steps.

1. Understand mixed numbers: A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number, with 3 as the whole number and 1/2 as the fraction.

2. Identify the mixed numbers to be added: For instance, let’s add the mixed numbers 3 1/2 and 2 1/4.

3. Double-check denominators: Ensure both fractions have the same denominator. In our example, they are different (2 and 4).

4. Find a common denominator: To add fractions with different denominators, find their least common denominator (LCD). For example, the LCD of 2 and 4 is 4.

5. Convert fractions to equivalent fractions with common denominators: Multiply each fraction by a factor that makes their denominators equal to the LCD.

For this example:

– Multiply the first fraction (1/2) by 2/2 to get an equivalent fraction of 4 as its denominator: (1/2) * (2/2) = 2/4

– The second fraction already has a denominator of 4, so it remains (1/4)

6. Rewrite the mixed numbers using the new fractions: In our case, after finding equivalent fractions for both components, we rewrite them as follows—3 2/4 and 2 1/4.

7. Add both whole numbers: Start by adding the whole numbers for both mixed numbers.
In this case—3 + 2 = 5.

8. Add both fractions separately: Add each of their numerators while keeping the same denominator.
In this case—(2/4) + (1/4) = (2+1)/4 = 3/4.

9. Combine the sums of the whole numbers and fractions obtained: After adding the whole numbers and fractions, combine them into a single mixed number.

For our example—5 (Whole number) + 3/4 (Fraction) = 5 3/4.

10. Simplify if necessary: If the fraction sum is still improper or can be further simplified, do so.
In our case, 5 3/4 is already in its simplest form.

11. Verify your result: Double-check your calculations to ensure accuracy before finalizing your sum.
And there you have it—an easy-to-follow guide on how to add mixed numbers in 11 steps! With practice, adding mixed numbers will become second nature, and you’ll soon be a pro at handling all sorts of math problems involving mixed numbers

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Since technology is not going anywhere and does more good than harm, adapting is the best course of action. That is where The Tech Edvocate comes in. We plan to cover the PreK-12 and Higher Education EdTech sectors and provide our readers with the latest news and opinion on the subject. From time to time, I will invite other voices to weigh in on important issues in EdTech. We hope to provide a well-rounded, multi-faceted look at the past, present, the future of EdTech in the US and internationally.

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