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3/4 as a decimal




What is 3/4 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 34 means dividing 3 by 4.
  2. Set Up the Division: Place 3 as the dividend and 4 as the divisor.
  3. Perform the Division:
    • Since 3 is less than 4, you can’t divide it directly. Add a decimal point to the 3 and append a zero, making it 30 (in the tenths place).
    • Divide 30 by 4. The closest you can get to 30 without exceeding it is 28 (4 times 7), so the result of the division is 7.
    • Write 7 to the right of the decimal point in your answer.
  4. Subtract to Find the Remainder: Subtract 28 (4 times 7) from 30. The remainder is 2.
  5. Repeat the Process for the Remainder:
    • Add another zero to the remainder to make it 20 (now working in the hundredths place).
    • Divide 20 by 4, which gives you 5 because 4 times 5 is 20.
    • Add this 5 to your answer, making it 0.75.
  6. Finalize the Answer: The division now has no remainder. The decimal representation of 34 is 0.75.

In this method, the fraction is converted to a decimal through long division, extending the dividend with zeros after the decimal point. The process concludes neatly with 0.75 as the decimal equivalent for 34

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

General rules: convert fraction to decimal

Practical examples:

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