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Mastering the Art of Adding Mixed Numbers to Whole Numbers- A Step-by-Step Guide

How to Add a Mixed Number with a Whole Number

Adding a mixed number with a whole number might seem a bit daunting at first, but with a clear understanding of the steps involved, it becomes a straightforward process. A mixed number consists of a whole number and a fraction, while a whole number is simply a number without any fractional part. By following these simple steps, you can easily add a mixed number to a whole number and find the sum.

First, let’s break down the mixed number. A mixed number is composed of two parts: the whole number and the fraction. For example, in the mixed number 3 1/2, the whole number is 3, and the fraction is 1/2. To add this mixed number to a whole number, such as 4, you’ll need to perform the following steps:

1. Convert the whole number to a fraction with the same denominator as the fraction in the mixed number. In our example, the fraction in the mixed number is 1/2, so we’ll convert the whole number 4 to a fraction with a denominator of 2. To do this, multiply the whole number by the denominator of the fraction: 4 2 = 8. This gives us the equivalent fraction 8/2.

2. Add the numerator of the fraction in the mixed number to the numerator of the equivalent fraction we just created. In our example, the numerator of the fraction in the mixed number is 1, and the numerator of the equivalent fraction is 8. Adding these together gives us 1 + 8 = 9.

3. Keep the denominator the same for both fractions. In our example, the denominator for both fractions is 2.

4. Combine the whole number and the new fraction to form the final sum. In our example, the whole number is 3, and the new fraction is 9/2. Adding these together gives us 3 + 9/2 = 3 9/2.

5. Simplify the sum if possible. In our example, the sum 3 9/2 can be simplified to 4 1/2 by dividing the numerator (9) by the denominator (2) and adding the quotient (4) to the whole number.

By following these steps, you can add a mixed number to a whole number with ease. Keep in mind that this process works for any mixed number and any whole number. With practice, you’ll be able to add mixed numbers and whole numbers quickly and efficiently.

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