Multiply A Fraction By A Whole Number: Easy Worksheet Guide
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To multiply a fraction by a whole number, it’s important to have a clear understanding of the process. This method is fundamental in math and helps in various real-world applications, such as cooking, budgeting, and more. In this guide, we’ll break down the steps involved in this multiplication, provide examples, and offer a worksheet to practice.
Understanding Fractions and Whole Numbers
What is a Fraction?
A fraction represents a part of a whole. It consists of two numbers: the numerator (the top part) and the denominator (the bottom part). For instance, in the fraction ( \frac{3}{4} ), 3 is the numerator and 4 is the denominator.
What is a Whole Number?
Whole numbers are non-negative numbers without fractions or decimals. Examples include 0, 1, 2, 3, and so on.
Steps to Multiply a Fraction by a Whole Number
Multiplying a fraction by a whole number is straightforward. Follow these steps:
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Identify the Whole Number and Fraction: For example, if you want to multiply ( \frac{2}{5} ) by 3, identify these values clearly.
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Multiply the Whole Number by the Numerator: Take the whole number and multiply it by the fraction's numerator. Using our example: [ 3 \times 2 = 6 ]
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Keep the Denominator the Same: The denominator remains unchanged. In our case, it stays 5.
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Write the Result as a New Fraction: This gives you: [ \frac{6}{5} ]
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Simplify if Necessary: If the resulting fraction can be simplified, do so. In our example, ( \frac{6}{5} ) is already in its simplest form, but it can also be expressed as a mixed number: [ 1 \frac{1}{5} ]
Example Problems
Let’s practice with a few examples to reinforce these steps.
Example 1: Multiply ( \frac{3}{4} ) by 2
- Multiply the numerator by the whole number: [ 3 \times 2 = 6 ]
- Keep the denominator the same: [ \frac{6}{4} ]
- Simplify: [ \frac{6}{4} = \frac{3}{2} \quad \text{(or } 1 \frac{1}{2} \text{)} ]
Example 2: Multiply ( \frac{5}{6} ) by 4
- Multiply the numerator: [ 5 \times 4 = 20 ]
- Keep the denominator the same: [ \frac{20}{6} ]
- Simplify: [ \frac{20}{6} = \frac{10}{3} \quad \text{(or } 3 \frac{1}{3} \text{)} ]
Example 3: Multiply ( \frac{1}{2} ) by 5
- Multiply the numerator: [ 1 \times 5 = 5 ]
- Keep the denominator the same: [ \frac{5}{2} ]
- Since it's already in simplest form, it can also be represented as: [ 2 \frac{1}{2} ]
Practice Worksheet
To help you practice multiplying fractions by whole numbers, here’s a worksheet with problems to solve. You can do these on your own or with a partner!
<table> <tr> <th>Problem</th> <th>Answer</th> </tr> <tr> <td>1. Multiply ( \frac{2}{3} ) by 3</td> <td></td> </tr> <tr> <td>2. Multiply ( \frac{4}{5} ) by 6</td> <td></td> </tr> <tr> <td>3. Multiply ( \frac{7}{8} ) by 2</td> <td></td> </tr> <tr> <td>4. Multiply ( \frac{5}{7} ) by 4</td> <td></td> </tr> <tr> <td>5. Multiply ( \frac{1}{4} ) by 10</td> <td></td> </tr> </table>
Important Note:
Always remember to simplify your answers where possible. Simplifying fractions ensures they are in the most understandable form.
Conclusion
Multiplying a fraction by a whole number is a simple yet essential math skill. By following the steps outlined in this guide and practicing with the provided worksheet, you'll become proficient in this area. Understanding how to manipulate fractions will also aid in your overall mathematical journey. Happy calculating! 🎉