How to Convert Fractions to Decimals: Step-by-Step Guide
FAQs on Fractions to Decimals Practice Worksheet for Class 6
1. How to convert a fraction into a decimal in class 6?
To convert a fraction into a decimal for Class 6 students, you can use two main methods: converting the denominator to a power of 10 or using long division. Both methods are essential for solving fraction to decimal conversion problems.
- Method 1 (Equivalent Fractions): If the denominator can be easily multiplied to become 10, 100, or 1000, use this method. For example, to convert 3/4, multiply the numerator and denominator by 25 to get 75/100, which is written as the decimal 0.75.
- Method 2 (Long Division): Divide the numerator by the denominator. For the fraction 1/8, dividing 1 by 8 gives you the decimal 0.125. This method works for all fractions.
2. What is a decimal fraction with an example for class 6?
A decimal fraction is a specific type of fraction where the denominator is a power of 10, such as 10, 100, 1000, and so on. These fractions are very easy to write in decimal form.
For example:
- The fraction 9/10 is a decimal fraction and is written as 0.9 (read as nine-tenths).
- The fraction 54/100 is a decimal fraction and is written as 0.54 (read as fifty-four hundredths).
Understanding decimal fractions is a key part of the Class 6 Maths syllabus on fractions and decimals.
3. How do you solve fractions and decimals sums?
To solve sums involving both fractions and decimals, you should convert all numbers to the same format, either all fractions or all decimals. For most Class 6 problems, converting fractions to decimals is often simpler for addition and subtraction.
- Step 1: Convert all fractions in the sum to their decimal form. For example, change 1/2 to 0.5.
- Step 2: Align the decimal points of all the numbers.
- Step 3: Perform the required operation (addition, subtraction, etc.) just as you would with whole numbers.
- Step 4: Place the decimal point in the answer directly below the decimal points in the problem.
4. What is a fraction-decimal conversion?
A fraction-decimal conversion is the process of changing a number from its fractional form (like a/b) to its decimal form (like 0.xx). This process helps in comparing quantities and performing calculations more easily.
For example, converting the fraction 1/4 into a decimal gives 0.25. This shows that both forms represent the exact same value. These practice questions for class 6 fractions help master this essential maths skill.
5. How can I use this worksheet at home?
This worksheet is perfect for home practice to reinforce maths concepts. Simply download and print the free PDF worksheet, allow your child to attempt the questions on their own, and then use the included answer key to review their work together. It's an excellent tool for homework revision and building confidence.
6. Does this worksheet include an answer key?
Yes, this Class 6 maths writing fractions as decimals worksheet comes with a complete answer key. The answers are provided to help students self-correct, understand their mistakes, and allow parents to check the work easily. Having a worksheet with answers ensures effective and accurate practice.
7. Is this worksheet printable?
Absolutely. This worksheet is designed as a printable maths worksheet in a user-friendly PDF format. You can easily print it on standard A4 size paper for your child to use for classroom assignments, homework, or exam practice.
8. What age group is this worksheet best for?
This worksheet is specifically designed for Grade 6 students, typically aged 11-12 years. The content and difficulty level are aligned with the CBSE and NCERT syllabus for Class 6 Maths, focusing on the chapter of Fractions and Decimals.
9. What skills are built by this activity?
This worksheet helps build several fundamental maths skills essential for Grade 6 students. By completing these exercises, students will improve their ability to:
- Understand the relationship between fractions and decimals.
- Perform accurate fraction to decimal conversion.
- Strengthen their knowledge of place value (tenths, hundredths).
- Improve calculation speed and accuracy through drill practice.
- Build a strong foundation for more advanced decimal operations.
10. How does this worksheet reinforce concept retention?
This worksheet reinforces learning through structured, repetitive practice. By offering a variety of question formats like 'fill in the blanks' and 'write as decimal', it forces students to engage with the core concept of writing fractions as decimals in different ways. This repeated engagement helps move the information from short-term to long-term memory, leading to better concept retention for exams.
