How to Convert Decimals to Fractions with Easy Steps and Examples
FAQs on Writing Decimals as Fractions – Class 6 Maths Practice Worksheet
1. How do you convert a decimal into a fraction for Class 6?
To convert a decimal into a fraction, you write the number without the decimal point as the numerator and its place value as the denominator, and then simplify the fraction.
Here are the step-by-step conversion instructions:
- Step 1: Write the decimal number as the numerator (top part) without the decimal point. For example, for 0.8, the numerator is 8.
- Step 2: Write the place value of the last digit as the denominator (bottom part). For 0.8 (eight-tenths), the denominator is 10.
- Step 3: Write it as a fraction: 8/10.
- Step 4: Simplify the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor. 8/10 simplifies to 4/5.
2. How do you write a decimal like 1.75 as a fraction?
To write 1.75 as a fraction, you represent it as a number over 100 because it has two decimal places, and then simplify it to its lowest terms.
Here is how to do it:
- First, write 1.75 as a fraction with the number over its place value: 175/100.
- Next, find the greatest common factor of 175 and 100, which is 25.
- Finally, divide both the numerator and denominator by 25 to get the simplest form: 7/4.
- This can also be written as a mixed number: 1 3/4.
3. How do you simplify decimal fractions?
You simplify a decimal fraction by finding the greatest common divisor (GCD) for the numerator and the denominator and dividing both by it.
For example, to simplify the fraction for the decimal 0.25:
- First, convert the decimal to a fraction: 0.25 = 25/100.
- Identify the GCD of 25 (the numerator) and 100 (the denominator), which is 25.
- Divide both parts of the fraction by the GCD: 25 ÷ 25 = 1, and 100 ÷ 25 = 4.
- The simplified fraction in its lowest terms is 1/4.
4. Is this worksheet for writing decimals as fractions available as a free PDF?
Yes, this Class 6 Maths worksheet on writing decimals as fractions is available as a free PDF download.
Students, parents, and teachers can easily access and print this resource for homework support, classroom practice, or quick revision. The PDF format is designed to be clear and print-friendly for convenient use at home or school.
5. Does this Class 6 Maths worksheet include an answer key?
Yes, this practice worksheet includes a complete answer key for all questions.
The provided solutions allow students to self-check their work, understand their mistakes, and build confidence in converting decimals to fractions. Parents can also use it to easily verify the answers and support their child's learning process.
6. How can I use this decimals-as-fractions worksheet at home?
This worksheet is an excellent tool for home-based learning, designed to reinforce concepts taught in school.
Here are some ways to use it:
- Homework Practice: Use it to complete homework assignments related to the Class 6 Maths decimals chapter.
- Revision Tool: It is perfect for revising the topic of converting decimals to fractions before exams.
- Concept Reinforcement: Work through the problems to strengthen understanding of place value and fraction simplification.
- Skill Building: Regular practice helps improve speed and accuracy in solving decimal-fraction problems.
7. What is the role of place value when converting decimals to fractions?
Place value is the most critical concept for converting decimals to fractions, as it determines the denominator of the fraction.
- The first digit after the decimal point is in the tenths place (denominator of 10).
- The second digit is in the hundredths place (denominator of 100).
- The third digit is in the thousandths place (denominator of 1000), and so on.
For example, in 0.45, the last digit '5' is in the hundredths place, so the denominator is 100, making the fraction 45/100.
8. How does writing decimals as fractions reinforce mathematical concepts for Class 6?
Practising how to write decimals as fractions helps Class 6 students connect two fundamental ways of representing numbers that are less than one whole.
This skill reinforces several key mathematical concepts:
- Decimal Place Value: It strengthens a student's grasp of tenths, hundredths, and thousandths.
- Fraction Simplification: It provides practical application for finding the greatest common divisor and reducing fractions to their simplest form.
- Number System Understanding: It builds a solid foundation for understanding rational numbers, showing that a single value can be expressed in multiple ways (e.g., 0.5 is the same as 1/2).
9. What problem-solving skills are developed with this worksheet?
This worksheet helps develop crucial problem-solving and analytical skills beyond simple conversion.
Students improve their:
- Procedural Fluency: By repeatedly applying the steps of conversion and simplification.
- Attention to Detail: By correctly identifying decimal places and ensuring fractions are in their simplest form.
- Logical Reasoning: By understanding the relationship between the number of decimal places and the power of 10 in the denominator.
10. Can this worksheet be used for CBSE and NCERT Class 6 maths revision?
Absolutely. This worksheet is designed to align with the curriculum standards set by both CBSE and NCERT for Class 6 Maths.
The questions cover the core concepts of the decimals chapter, making it an ideal resource for students following these syllabi. It is perfect for exam revision, chapter-end practice, and reinforcing classroom learning.
