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1/16 as a decimal




What is 1/16 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 1/16 means 1 divided by 16.
  2. Set Up the Division: You’ll be dividing the numerator (1) by the denominator (16), so your division is 1 ÷ 16.
  3. Perform the Division: Since 1 is less than 16, you cannot divide it directly. You need to add a decimal point and some zeros after the 1. Start by adding a decimal point and one zero, turning 1 into 1.0.
  4. Divide: Now, divide 16 into 10 (which is now 1.0). Since 16 does not go into 10, you add another zero after the 10, making it 100.
  5. Continue Dividing: Divide 16 into 100. 16 goes into 100 six times (since 16 x 6 = 96), so you put a 6 in the tenths place of the decimal. Subtract 96 from 100, leaving a remainder of 4.
  6. Bring Down Another Zero: Since you have a remainder, add another zero to make it 40.
  7. Repeat the Division Process: Now, divide 16 into 40. 16 goes into 40 two times (16 x 2 = 32). Write a 2 in the next decimal place. Subtract 32 from 40, leaving a remainder of 8.
  8. Continue the Process: Keep adding zeros, dividing, and writing down the quotient until you either reach a repeating pattern, a remainder of zero, or enough decimal places for your purpose.
  9. Write the Decimal: The final result of the division will be your decimal equivalent of 1/16.

In summary, converting 1/16 to a decimal requires dividing 1 by 16, continually adding zeros and dividing, until you reach the desired level of precision in your decimal representation. For 1/16, this process 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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