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5/9 as a decimal




What is 5/9 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 5/9 means 5 divided by 9.
  2. Set Up the Division: To convert the fraction to a decimal, you’ll divide the numerator (5) by the denominator (9), which sets up the division 5 ÷ 9.
  3. Perform the Division: Since 5 is less than 9, you can’t directly divide it. Add a decimal point and a zero after the 5, making it 5.0.
  4. Divide: Now, divide 9 into 50 (from the 5.0 you’ve set up). 9 goes into 50 five times (since 9 x 5 = 45), so you put a 5 in the tenths place of the decimal. Subtract 45 from 50, leaving a remainder of 5.
  5. Bring Down Another Zero: Since there’s still a remainder, bring down another zero to make it 50 again.
  6. Repeat the Division Process: Divide 9 into 50 once more. Just like before, 9 goes into 50 five times. Write another 5 in the next decimal place. Subtract 45 from 50, leaving a remainder of 5.
  7. Recognize the Pattern: You’ll notice a repeating pattern here. Each time you bring down a zero and divide, you get a quotient of 5 and a remainder of 5. This pattern will continue indefinitely.
  8. Write the Decimal: Since the pattern of getting a quotient of 5 repeats, 5/9 as a decimal is 0.5555…, with the 5 repeating indefinitely.

In summary, to convert 5/9 to a decimal, you divide 5 by 9 and continue the division process, recognizing the repeating decimal pattern that emerges, resulting in 0.5555… with the 5 repeating indefinitely.

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

General rules: convert fraction to decimal

Practical examples:

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