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9/16 as a decimal




What is 9/16 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 9/16 represents 9 divided by 16.
  2. Set Up the Division: Prepare to divide the numerator (9) by the denominator (16), so you’ll be performing the division 9 ÷ 16.
  3. Perform the Division: Since 9 is smaller than 16, you can’t divide it as it is. Add a decimal point and a zero after the 9, making it 9.0.
  4. Divide: Now, divide 16 into 90 (the 9.0 you wrote down). 16 does not go into 9, but it goes into 90 five times (since 16 x 5 = 80).
  5. Subtract and Bring Down Another Zero: Subtract 80 from 90, leaving a remainder of 10. Then, bring down another zero to make it 100.
  6. Continue Dividing: Divide 16 into 100. 16 goes into 100 six times (16 x 6 = 96). Write the 6 after the 5 in your decimal. Subtract 96 from 100, leaving a remainder of 4.
  7. Repeat the Process: Add another zero to make it 40 and divide by 16 again. Continue this process, writing down each quotient digit, subtracting, and bringing down zeros as necessary.
  8. Stop When Appropriate: You can stop this process when you reach a remainder of 0 or when you have enough decimal places for your purpose. In some cases, you may notice a repeating pattern, but 9/16 will terminate after a certain number of decimal places.
  9. Write the Decimal: Compile the digits you wrote after the decimal point. This is the decimal equivalent of 9/16.

In summary, converting 9/16 to a decimal involves dividing 9 by 16, continually subtracting and bringing down zeros until you reach a remainder of 0 or have sufficient decimal places. This fraction does not result in a repeating decimal.

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

General rules: convert fraction to decimal

Practical examples:

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