Reviewed by Jo-ann Caballes
What is 1/6 as a decimal?
Answer: 1/6 as a decimal is 0.1666...
Converting fractions to decimals helps us understand parts of a whole in another format. The fraction 1/6 shows one part of six equal pieces. By changing this into a decimal, we can see its approximate value in a more familiar numerical way.
Methods
Math Tutor Explanation Using the Long Division Method
You can convert 1/6 to a decimal by dividing 1 by 6 with long division.
Step 1: Step 1: Set up the division of 1 divided by 6
Step 2: Step 2: Since 6 does not go into 1, add a decimal and a zero to make 10
Math Tutor Explanation Using a Calculator
A simple way to find the decimal form is to use a calculator for the division.
Step 1: Step 1: Input 1 divided by 6 in the calculator
Step 2: Step 2: Observe the answer as 0.1666..., where the 6 repeats indefinitely
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Strengthen your skills in converting fractions to decimals with these related exercises.
FAQ on Converting Fractions to Decimals
Why does the decimal for 1/6 repeat?
Some fractions cannot be written as a finite decimal, so their decimal form repeats indefinitely.
How do you write a repeating decimal?
A repeating decimal is written with a bar over the repeating digit, like 0.1̅6̅.
Can you round 0.1666...?
Yes, you can round it to 0.167 or another place value as needed.
Which is greater: 1/6 or 1/7 as a decimal?
1/6 (0.1666...) is greater than 1/7 (0.1428...).
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