Class 6 Maths: Writing Fractions as Decimals Using Long Division

Long division is the fundamental method for converting any fraction to a decimal because a fraction itself represents a division problem (numerator ÷ denominator). It provides a clear, step-by-step procedure to find the exact decimal value.

This method helps by:

• Showing the complete process of dividing the numerator by the denominator.
• Handling remainders correctly by adding a decimal point and zeros.
• Revealing whether the resulting decimal is terminating (ends) or recurring (repeats).

To convert the fraction 3/8 into a decimal, you perform long division by dividing 3 by 8, which results in the decimal 0.375.

Here is the step-by-step process:

1. Set up the division with 3 as the dividend and 8 as the divisor.
2. Since 8 is greater than 3, place a decimal point in the quotient and add a zero to 3, making it 3.0.
3. Divide 30 by 8, which gives a quotient of 3 (24) and a remainder of 6.
4. Add another zero to the remainder, making it 60. Divide 60 by 8, which gives a quotient of 7 (56) and a remainder of 4.
5. Add a final zero, making it 40. Divide 40 by 8, which gives a quotient of 5 and a remainder of 0. The division is complete.

Yes, all fractions, which are rational numbers, can be written as decimals by dividing the numerator by the denominator. The resulting decimal will always be one of two types:

• Terminating Decimals: These decimals have a finite number of digits after the decimal point (e.g., 1/4 = 0.25).
• Non-Terminating Recurring Decimals: These decimals have an infinite number of digits that follow a repeating pattern (e.g., 1/3 = 0.333...).

This Class 6 Maths worksheet is an excellent resource for practice and revision. It helps students master the skill of converting fractions to decimals using the long division method.

You can use it for:

• Concept Reinforcement: To strengthen understanding of the division process.
• Homework Practice: As a supplementary exercise to school lessons.
• Exam Revision: To quickly review the topic and solve practice problems before a test.
• Skill Building: To improve accuracy and confidence in fraction and decimal conversions.

Yes, absolutely. This worksheet for converting fractions to decimals is designed as a free, downloadable PDF file. It is formatted to be easily printed on standard A4 paper, making it perfect for use at home or in the classroom.

The key difference is that a terminating decimal ends, while a non-terminating decimal goes on forever. Both types can result from converting a fraction to a decimal.

• A terminating decimal is a decimal number that has a finite number of digits. For example, 1/2 = 0.5.
• A non-terminating (or recurring) decimal is a decimal that continues infinitely with a repeating sequence of digits. For example, 2/3 = 0.666....

If the long division process does not end with a remainder of zero, it means you have a non-terminating recurring decimal. In this situation, you should look for a pattern in the digits of your answer (quotient).

• Continue the division for at least 3-4 decimal places to identify the repeating block of digits.
• Once the pattern is clear, you can stop dividing.
• Write the decimal answer by showing the repeating part, often indicated with an ellipsis (...) or a bar over the repeating digits.

Yes, this Grade 6 Maths worksheet on writing fractions as decimals using long division is fully aligned with the CBSE and NCERT curriculum. The exercises and methods covered are designed to match the learning objectives prescribed for Class 6 students.

Yes, a comprehensive answer key is provided with this worksheet. The solutions allow students and parents to check the answers for every problem, helping to identify mistakes and reinforce correct methods for converting fractions to decimals.