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3/5 as a decimal




What is 3/5 as decimal? Let’s explore the exact steps how to convert a fraction to a decimal based on the below example

  1. Understand the Fraction: The fraction 35 represents the division of 3 by 5.
  2. Set Up the Division: Write down the division with 3 as the dividend (the number to be divided) and 5 as the divisor (the number to divide by).
  3. Perform the Division:
    • Since 3 is less than 5, you cannot divide it directly. To proceed, you add a decimal point to the dividend (3) and add a zero after the decimal point, making it 30 (in the tenths place).
    • Now, divide 30 by 5. The result is 6, since 5 times 6 is 30, which exactly matches the dividend.
    • Write down 6 to the right of the decimal point in your answer.
  4. Finalize the Answer: Since 5 times 6 gives 30 and there is no remainder, the decimal representation of 35 is 0.6.

This process is essentially long division with the additional step of extending the dividend with zeros after the decimal point. In the case of 35 , the division concludes neatly with 0.6 as the decimal equivalent.

Explore variety of examples below (the above steps are followed):

General rules: convert fraction to decimal

Practical examples:

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