Multiply. Write Your Answer As A Fraction, Whole Number, Or Mixed Number.$\[ 2 \frac{11}{12} \times 5 = \\]$\[ \square \\]
Introduction to Multiplication with Fractions and Whole Numbers
Multiplication is a fundamental operation in mathematics that involves the repeated addition of a number. When dealing with fractions and whole numbers, it's essential to understand the concept of multiplication and how to apply it to solve problems. In this article, we will explore the concept of multiplication with fractions and whole numbers, and provide step-by-step examples to help you understand the process.
Understanding the Problem
The problem we are given is to multiply the fraction 2 11/12 by the whole number 5. To solve this problem, we need to understand the concept of multiplying fractions and whole numbers.
Multiplying Fractions and Whole Numbers
When multiplying a fraction by a whole number, we can multiply the numerator of the fraction by the whole number, and then simplify the resulting fraction. In this case, we have the fraction 2 11/12, which can be written as 2 + 11/12. To multiply this fraction by 5, we can multiply the numerator (2 + 11/12) by 5.
Step-by-Step Solution
To solve this problem, we can follow these steps:
- Multiply the whole number part (2) by the whole number (5): 2 × 5 = 10
- Multiply the fraction part (11/12) by the whole number (5): 11/12 × 5 = 55/12
- Add the results of steps 1 and 2: 10 + 55/12
Simplifying the Result
To simplify the result, we need to find a common denominator for the whole number part (10) and the fraction part (55/12). The least common multiple (LCM) of 1 and 12 is 12, so we can rewrite the whole number part as 120/12.
Simplifying the Result (continued)
Now we can add the two fractions: 120/12 + 55/12 = 175/12
Converting the Result to a Mixed Number
To convert the result to a mixed number, we need to divide the numerator (175) by the denominator (12). The quotient is 14 with a remainder of 7, so we can write the result as a mixed number: 14 7/12
Conclusion
In this article, we explored the concept of multiplication with fractions and whole numbers. We provided step-by-step examples to help you understand the process, and we simplified the result to a mixed number. By following these steps, you can multiply fractions and whole numbers with confidence.
Frequently Asked Questions
- Q: What is the result of multiplying 2 11/12 by 5? A: The result is 14 7/12.
- Q: How do I multiply a fraction by a whole number? A: To multiply a fraction by a whole number, you can multiply the numerator of the fraction by the whole number, and then simplify the resulting fraction.
- Q: What is the least common multiple (LCM) of 1 and 12? A: The LCM of 1 and 12 is 12.
Additional Resources
- For more information on multiplication with fractions and whole numbers, please refer to the following resources:
- Khan Academy: Multiplying Fractions and Whole Numbers
- Mathway: Multiplying Fractions and Whole Numbers
- Wolfram Alpha: Multiplying Fractions and Whole Numbers
Final Thoughts
Multiplication with fractions and whole numbers can be a challenging concept, but with practice and patience, you can become proficient in solving these types of problems. Remember to follow the steps outlined in this article, and don't be afraid to ask for help if you need it. With time and practice, you will become a master of multiplication with fractions and whole numbers.
Introduction
In our previous article, we explored the concept of multiplication with fractions and whole numbers. We provided step-by-step examples to help you understand the process, and we simplified the result to a mixed number. In this article, we will answer some of the most frequently asked questions about multiplication with fractions and whole numbers.
Q&A: Multiplication with Fractions and Whole Numbers
Q: What is the result of multiplying 2 11/12 by 5?
A: The result is 14 7/12.
Q: How do I multiply a fraction by a whole number?
A: To multiply a fraction by a whole number, you can multiply the numerator of the fraction by the whole number, and then simplify the resulting fraction.
Q: What is the least common multiple (LCM) of 1 and 12?
A: The LCM of 1 and 12 is 12.
Q: How do I simplify a fraction after multiplying it by a whole number?
A: To simplify a fraction after multiplying it by a whole number, you need to find a common denominator for the whole number part and the fraction part. Then, you can add the two fractions.
Q: Can I multiply a fraction by a fraction?
A: Yes, you can multiply a fraction by a fraction. To do this, you need to multiply the numerators and the denominators separately, and then simplify the resulting fraction.
Q: How do I multiply a mixed number by a whole number?
A: To multiply a mixed number by a whole number, you need to multiply the whole number part by the whole number, and then multiply the fraction part by the whole number. Finally, you can add the two results.
Q: What is the difference between multiplying fractions and multiplying whole numbers?
A: The main difference between multiplying fractions and multiplying whole numbers is that when you multiply fractions, you need to multiply the numerators and the denominators separately, whereas when you multiply whole numbers, you can simply multiply the numbers.
Q: Can I multiply a fraction by a decimal?
A: Yes, you can multiply a fraction by a decimal. To do this, you need to convert the decimal to a fraction, and then multiply the fractions.
Q: How do I multiply a fraction by a percentage?
A: To multiply a fraction by a percentage, you need to convert the percentage to a decimal, and then multiply the fraction by the decimal.
Conclusion
In this article, we answered some of the most frequently asked questions about multiplication with fractions and whole numbers. We provided step-by-step examples and explanations to help you understand the process. By following these steps and practicing with different problems, you can become proficient in multiplying fractions and whole numbers.
Additional Resources
- For more information on multiplication with fractions and whole numbers, please refer to the following resources:
- Khan Academy: Multiplying Fractions and Whole Numbers
- Mathway: Multiplying Fractions and Whole Numbers
- Wolfram Alpha: Multiplying Fractions and Whole Numbers
Final Thoughts
Multiplication with fractions and whole numbers can be a challenging concept, but with practice and patience, you can become proficient in solving these types of problems. Remember to follow the steps outlined in this article, and don't be afraid to ask for help if you need it. With time and practice, you will become a master of multiplication with fractions and whole numbers.
Related Articles
- Multiply: Understanding the Concept of Multiplication with Fractions and Whole Numbers
- Multiply: Step-by-Step Examples and Solutions
- Multiply: Tips and Tricks for Multiplying Fractions and Whole Numbers
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