1/6 as a decimal - MathQuadrum

What is 1/6 as decimal? Let’s explore the exact steps how to convert a fraction to a decimal based on the below example

Understand the Fraction: The fraction 16 means 1 divided by 6.
Set Up the Division: To convert the fraction to a decimal, you need to divide the numerator (the top number of the fraction, which is 1 in this case) by the denominator (the bottom number, which is 6 here). So, you’ll be doing the division 1 ÷ 6.
Perform the Division: Since 1 is less than 6, you can’t divide it as is. You’ll need to add a decimal point and some zeros after the 1. The decimal point goes directly after the 1, and then you can add a zero after the decimal point, making it 1.0.
Continue Dividing: Now, you divide 6 into 10. 6 goes into 10 once (as 6 x 1 = 6), so you put a 1 in the tenths place of the decimal. Subtract 6 from 10, and you get 4.
Bring Down Another Zero: Since you still have a remainder, you can bring down another zero and place it after the 4, making it 40.
Repeat the Division Process: Divide 6 into 40. 6 goes into 40 six times (6 x 6 = 36) without going over. So, you put a 6 in the next decimal place. Subtract 36 from 40, and you get 4.
Continue Until You Reach a Repeating Pattern or Zero: You would continue this process, bringing down zeros and dividing. For 1/6, you’ll notice that the pattern of getting a remainder of 4 and then bringing down a zero to make 40 repeats. This means the decimal will have a repeating pattern.
Write the Decimal: With the repeating pattern of 6, you can conclude that 1/6 as a decimal is 0.1666…, with the 6 repeating indefinitely.

In summary, to convert 16 to a decimal, you divide 1 by 6, continue bringing down zeros and dividing, and recognize the repeating decimal pattern that emerges.

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

General rules: convert fraction to decimal

Practical examples:

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