How to Convert Decimals to Mixed Numbers Step by Step
FAQs on Decimals to Mixed Numbers Conversion Practice for Class 4
1. How do you convert decimals to mixed numbers?
To convert a decimal to a mixed number, you separate the whole number from the decimal part and then convert the decimal part into a simplified fraction. The steps are:
- Identify the whole number: This is the number to the left of the decimal point.
- Convert the decimal part to a fraction: Write the digits after the decimal point as the numerator. The denominator will be a power of 10 (10, 100, 1000) depending on the number of decimal places.
- Simplify the fraction: Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common factor.
- Combine them: Write the whole number and the simplified fraction together to form the mixed number.
2. What is 1.75 as a mixed number?
The decimal 1.75 is written as the mixed number 1 ¾ in its simplest form. Here’s how you convert it:
- The whole number part is 1.
- The decimal part is 0.75, which is read as 'seventy-five hundredths' and can be written as the fraction 75/100.
- To simplify the fraction, divide both the numerator and the denominator by 25, which gives 3/4.
- Combine the whole number and the simplified fraction to get 1 ¾.
3. What is 12.37 written as a mixed number?
The decimal 12.37 is written as the mixed number 12 37/100. The conversion is straightforward:
- The whole number part is 12.
- The decimal part, 0.37, means 'thirty-seven hundredths', which becomes the fraction 37/100.
- Since 37 is a prime number and has no common factors with 100, the fraction is already in its simplest form.
- Therefore, you just combine the whole number and the fraction to get 12 37/100.
4. How can I use this worksheet at home?
This worksheet is perfect for home practice; simply download the free PDF and print it out for your child. It allows them to get extra practice on decimals to mixed numbers conversion, reinforcing what they learn in Class 4 Maths.
5. Does this include an answer key?
Yes, a detailed answer key is included with this maths worksheet PDF. It provides step-by-step solutions to all the decimal conversion practice problems, which helps parents guide their children and allows students to self-correct their work.
6. Is this worksheet printable?
Yes, this Class 4 maths worksheet is designed to be easily printable. You can download the PDF and print it on standard A4 size paper for convenient use at home or in the classroom for extra practice.
7. What age group is it best for?
This worksheet is specifically designed for Grade 4 students, typically between the ages of 8 and 10. The exercises for converting decimals to mixed numbers are aligned with the standard Class 4 Maths curriculum.
8. How does this worksheet reinforce concept retention?
This worksheet reinforces learning by providing a mix of activities, including direct conversion practice and visual drills. This approach helps students connect the abstract concept of decimals and mixed numbers to visual models, improving long-term retention and understanding of place value.
9. What skills are built by this activity?
By completing this worksheet, students build several key maths skills. These include:
- Understanding the relationship between fractions and decimals.
- Mastering the step-by-step conversion from a decimal to a mixed number.
- Improving their ability to simplify fractions.
- Strengthening their knowledge of place value (tenths, hundredths).
10. Can I use this worksheet digitally on a tablet?
Yes, you can use this worksheet on a tablet or any digital device that supports PDF files. Simply download the worksheet PDF and open it in a compatible app to view the questions or annotate directly on the screen for paper-free practice.
