How to Divide Mixed Numbers: Step-by-Step Guide
FAQs on Dividing Mixed Numbers Practice for Class 6
1. How do you divide mixed numbers?
To divide mixed numbers, you first convert them into improper fractions and then multiply by the reciprocal of the second fraction. The four main steps are:
- Convert each mixed number to an improper fraction.
- Rewrite the division problem as a multiplication problem by using the reciprocal of the second fraction.
- Multiply the numerators together and the denominators together.
- Simplify the resulting fraction and convert it back to a mixed number if needed.
2. What is the rule for dividing mixed fractions?
The fundamental rule for dividing mixed fractions is to convert, invert, and multiply. This method, often remembered as 'Keep, Change, Flip', makes the process straightforward for Class 6 students.
- Keep: Keep the first fraction as it is (after converting it to an improper fraction).
- Change: Change the division sign to a multiplication sign.
- Flip: Flip the second fraction to get its reciprocal.
After this, you simply multiply the fractions and simplify the result.
3. Why do we convert mixed numbers to improper fractions before dividing?
We convert mixed numbers to improper fractions to make the calculation process simpler and more accurate. An improper fraction expresses the entire value with a single numerator and denominator, which is necessary to correctly apply the rules of fraction division, especially when finding the reciprocal and multiplying.
4. What is an example of dividing mixed numbers?
Here is a step-by-step example of dividing mixed numbers: Solve 3 ½ ÷ 1 ¾.
- Convert to improper fractions: 3 ½ becomes 7/2, and 1 ¾ becomes 7/4.
- Find the reciprocal: The reciprocal of 7/4 is 4/7. The problem is now 7/2 × 4/7.
- Multiply: (7 × 4) / (2 × 7) = 28/14.
- Simplify the answer: 28 divided by 14 is 2.
5. How do you simplify the answer after dividing mixed numbers?
To simplify the final answer, you must find the greatest common factor (GCF) of the numerator and the denominator and divide both by it. If your answer is an improper fraction, you should convert it back into a mixed number by dividing the numerator by the denominator to get a whole number and a remainder.
6. How do you divide a mixed number by a whole number?
To divide a mixed number by a whole number, you follow a similar process. First, convert the mixed number into an improper fraction. Then, write the whole number as a fraction by placing it over 1 (e.g., 5 becomes 5/1). Finally, multiply the first fraction by the reciprocal of the second fraction.
7. Is this Class 6 Maths Dividing Mixed Numbers worksheet printable?
Yes, this worksheet is designed as a free printable PDF. Parents and students can easily download and print it for extra maths practice, homework support, or revision before exams, making it a convenient resource for home learning.
8. Does this Dividing Mixed Numbers worksheet come with answers?
Yes, a comprehensive answer key is provided with this worksheet. The solutions include a detailed breakdown of the steps, such as converting to improper fractions, using the reciprocal, and simplifying the final answer, which allows students to self-assess their work effectively.
9. What skills does this Grade 6 worksheet on dividing fractions help build?
This worksheet is designed to build several crucial skills for Grade 6 Maths students. It reinforces procedural fluency in fraction operations, strengthens the ability to convert between mixed numbers and improper fractions, deepens understanding of the reciprocal property, and improves overall mathematical reasoning and problem-solving abilities.
10. What age group is this worksheet best for?
This worksheet is specifically designed for students in Grade 6, who are typically between the ages of 11 and 12. The content and difficulty level are aligned with the NCERT syllabus and other major educational boards for this grade level to ensure it is age-appropriate and academically relevant.
