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Converting Mixed Numbers to Decimal- A Step-by-Step Guide

How do you turn a mixed number into a decimal? Converting mixed numbers to decimals is a fundamental skill in mathematics, especially when dealing with real-world applications such as budgeting, cooking, and engineering. In this article, we will explore the step-by-step process of converting mixed numbers into decimals, ensuring that you can confidently handle such conversions in various contexts.

The first step in converting a mixed number to a decimal is to understand the components of a mixed number. A mixed number consists of a whole number and a fraction. For example, the mixed number 3 1/2 has a whole number of 3 and a fraction of 1/2.

Step 1: Convert the fraction to a decimal

To convert the fraction part of the mixed number to a decimal, divide the numerator by the denominator. In our example, 1 divided by 2 equals 0.5. Therefore, the fraction 1/2 is equivalent to the decimal 0.5.

Step 2: Add the whole number to the decimal

Once you have the decimal equivalent of the fraction, simply add the whole number to it. In our example, we have 3 (the whole number) and 0.5 (the decimal equivalent of the fraction). Adding these two values gives us 3.5, which is the decimal equivalent of the mixed number 3 1/2.

Step 3: Practice with different mixed numbers

Now that you understand the process, it’s essential to practice with various mixed numbers to become proficient. Try converting mixed numbers with different denominators, such as 3 3/4 or 2 1/8, to reinforce your understanding of the conversion process.

Remember, the key to converting mixed numbers to decimals lies in dividing the numerator by the denominator to obtain the decimal equivalent of the fraction. Once you have this decimal, simply add it to the whole number to get the final decimal representation of the mixed number.

In conclusion, converting mixed numbers to decimals is a straightforward process that involves converting the fraction to a decimal and then adding the whole number to it. By following these steps and practicing with various examples, you’ll be well-equipped to handle mixed number to decimal conversions in your daily life and academic pursuits.

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