You are viewing the article How to Divide Mixed Numbers at Thptlaihoa.edu.vn you can quickly access the necessary information in the table of contents of the article below.
Dividing numbers can sometimes be a daunting task, especially when dealing with mixed numbers. These mathematical expressions, which include both whole numbers and fractions, require a specific set of rules to effectively divide them. Whether you’re a student looking for help with your homework or an adult in need of a refresher, understanding how to divide mixed numbers is an essential skill to possess. In this guide, we will break down the steps and techniques involved in dividing mixed numbers, providing you with the knowledge and confidence to tackle these mathematical operations with ease. So, let’s dive into the world of dividing mixed numbers and unravel the mystery behind this mathematical process.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
There are 8 references cited in this article that you can see at the bottom of the page.
This article has been viewed 3,418 times.
A mixed number is a combination of an integer and a fraction. We can divide two mixed numbers together, however, you need to convert them to non-conforming fractions first. After the mixed number is converted, you can do division as you would with fractions.
Steps
Convert mixed numbers to improper fractions
- Example: calculate 6first2÷2first4{displaystyle 6{frac {1}{2}}div 2{frac {1}{4}}} . First you need to get 6×2=twelfth{displaystyle 6times 2=12} and 2×4=8{displaystyle 2times 4=8} .
- Continuing the example, we have twelfth+first=13{displaystyle 12+1=13} and 8+first=9{displaystyle 8+1=9} .
- In the example above,6first2{displaystyle 6{frac {1}{2}}} will become132{displaystyle {frac {13}{2}}} and2first4{displaystyle 2{frac {1}{4}}} converted to 94{displaystyle {frac {9}{4}}} .
- For example: 3=3first{displaystyle 3={frac {3}{1}}} .
Divide fractions that don’t fit
- The problem will become: 132÷94{displaystyle {frac {13}{2}}div {frac {9}{4}}} .
- In the above example, the inverse of 94{displaystyle {frac {9}{4}}} To be 49{displaystyle {frac {4}{9}}} . So, 132÷94{displaystyle {frac {13}{2}}div {frac {9}{4}}} will become 132×49{displaystyle {frac {13}{2}}times {frac {4}{9}}}
- Continuing the example, to calculate 132×49{displaystyle {frac {13}{2}}times {frac {4}{9}}} , you need to multiply the numerators: 13×4=52{displaystyle 13times 4=52} .
- In the above example, to calculate 132×49{displaystyle {frac {13}{2}}times {frac {4}{9}}} Then you need to multiply the two denominators: 2×9=18{displaystyle 2times 9=18} . Then combine the numerator and denominator to get the result: 5218{displaystyle {frac {52}{18}}} .
- In the example, we see 52{displaystyle 52} and 18{displaystyle 18} are divisible by 2{displaystyle 2} .
52÷2=26{displaystyle 52div 2=26}
18÷2=9{displaystyle 18div 2=9}
So, 5218=269{displaystyle {frac {52}{18}}={frac {26}{9}}}
Convert the wrong fraction to a mixed number
- Continuing the example in the previous section: we have 26÷9=2{displaystyle 26div 9=2} residual 8{displaystyle 8} . Therefore, the integer of this mixed number will be 2.
- For example, if the denominator of the original fraction is 9{displaystyle 9} and the balance is 8{displaystyle 8} , the fraction in the mixed number will be 89{displaystyle {frac {8}{9}}} .
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
There are 8 references cited in this article that you can see at the bottom of the page.
This article has been viewed 3,418 times.
A mixed number is a combination of an integer and a fraction. We can divide two mixed numbers together, however, you need to convert them to non-conforming fractions first. After the mixed number is converted, you can do division as you would with fractions.
In conclusion, dividing mixed numbers may seem challenging at first, but with a clear understanding of the concepts and a systematic approach, it can be simplified. Following the steps of converting the mixed numbers to improper fractions, finding the reciprocal of the divisor, and multiplying the fractions, will lead to the correct quotient. It is important to pay attention to the operations involved in dividing mixed numbers and be cautious of any potential mistakes in the calculations. Practice and repetition will help improve proficiency in dividing mixed numbers. Overall, by mastering this skill, individuals can confidently solve mathematical problems involving mixed numbers and apply this knowledge in various real-life situations.
Thank you for reading this post How to Divide Mixed Numbers at Thptlaihoa.edu.vn You can comment, see more related articles below and hope to help you with interesting information.
Related Search:
1. What is the process of dividing mixed numbers?
2. Step-by-step guide to dividing mixed numbers.
3. Examples of dividing mixed numbers.
4. Common mistakes to avoid when dividing mixed numbers.
5. How to convert mixed numbers to improper fractions before dividing.
6. Division of mixed numbers using the reciprocal method.
7. How to simplify the quotient when dividing mixed numbers.
8. Dividing mixed numbers with different denominators.
9. Can you divide mixed numbers without converting them to fractions?
10. Practice problems and exercises for dividing mixed numbers.