Step-by-Step Guide: Writing Decimals as Mixed Numbers with Examples
FAQs on How to Convert Decimals to Mixed Numbers – Class 6 Worksheet
1. How to write decimals as mixed numbers?
To write decimals as mixed numbers, you separate the whole number from the decimal part and then convert the decimal portion into a simplified fraction.
- First, identify the number to the left of the decimal point; this is your whole number.
- Next, write the digits to the right of the decimal point as the numerator of a fraction.
- The denominator will be a power of 10 (like 10, 100, etc.) based on the place value of the last decimal digit.
- Finally, simplify the fraction to its lowest terms and combine it with the whole number.
2. How do you write 7.8 as a mixed number?
You can write the decimal 7.8 as the mixed number 7 4/5 by separating the whole number and converting the decimal part into a simplified fraction.
- The whole number part is 7.
- The decimal part is 0.8, which is read as 'eight-tenths' and written as the fraction 8/10.
- Simplify the fraction 8/10 by dividing both the numerator and denominator by 2, which results in 4/5.
- Combine the whole number and the simplified fraction to get the final mixed number: 7 4/5.
3. What is 12.37 written as a mixed number?
The decimal 12.37 is written as the mixed number 12 37/100 because the fractional part is already in its simplest form.
- The whole number is 12.
- The decimal part is 0.37, which is read as 'thirty-seven hundredths' and written as the fraction 37/100.
- Since 37 is a prime number, the fraction 37/100 cannot be simplified further.
- Therefore, the mixed number is 12 37/100.
4. What is the rule for converting a decimal to a mixed number?
The main rule for converting a decimal to a mixed number is to keep the whole number part the same and express the decimal part as a fraction based on its place value.
- Identify the Whole Number: The number to the left of the decimal is the whole number of the mixed fraction.
- Create the Fraction: The digits to the right of the decimal become the numerator, and the denominator is 10 for tenths, 100 for hundredths, and so on.
- Simplify: Always reduce the fraction to its simplest form.
5. Why is it important to simplify the fraction in a mixed number?
Simplifying the fraction in a mixed number is important because it presents the number in its most standard and easy-to-understand form, which is a key skill in Class 6 Maths.
Expressing fractions in their simplest form is a standard mathematical practice and is often required in exams. For example, it is better to write 6.5 as 6 1/2 rather than 6 5/10 as it shows a complete understanding of fraction equivalence.
6. How can I use this worksheet at home?
This worksheet is a perfect resource for students to practice writing decimals as mixed numbers at home for homework, revision, or extra practice.
- Homework Support: Use it to complete assignments on decimals and fractions.
- Holiday Revision: Reinforce key concepts during school breaks.
- Self-Assessment: Use the included answer key to check work and track progress.
- Extra Practice: Build confidence and mastery of the topic through independent work.
7. Does this include an answer key?
Yes, a complete and detailed answer key is provided with this Class 6 Maths worksheet for immediate feedback and self-checking.
The solutions allow students and parents to verify the answers for every question. This helps in understanding the step-by-step process of converting decimals to mixed numbers and ensures learning is accurate and effective.
8. Is this worksheet printable?
Yes, this worksheet on writing decimals as mixed numbers is designed to be easily printable and is available as a free downloadable PDF document.
Its print-friendly format allows students to work on the problems offline, which is highly effective for maths practice. Simply download the PDF to use it for classwork, homework, or tutoring sessions.
9. What age group is it best for?
This worksheet is ideally designed for Class 6 students, who are typically between 10 and 12 years old and are learning to convert decimals into mixed numbers.
The content is aligned with the CBSE and NCERT curriculum for Grade 6 Maths. It can also serve as a useful revision tool for Class 7 students or as an advanced practice sheet for Class 5 students.
10. What skills are built by this activity?
This activity builds several crucial mathematical skills beyond just the direct conversion of decimals to mixed numbers.
- Number Sense: Deepens the understanding of the relationship between whole numbers, decimals, and fractions.
- Place Value: Reinforces the concepts of tenths and hundredths.
- Fraction Simplification: Provides practice in reducing fractions to their lowest terms.
- Application: Helps students apply the concept to word problems and visual models.
