Reviewed by Yaren Fadiloglulari
What is 1/7 as a decimal?
Answer: 1/7 as a decimal is 0.142857
Converting the fraction 1/7 into a decimal helps us understand what it looks like in base 10. This is especially useful in both academic and everyday settings where decimals are more commonly used than fractions. The decimal for 1/7 is a repeating decimal, meaning its digits continue indefinitely in a fixed pattern.
Methods
Math Tutor Explanation Using the Division Method
To convert 1/7 to a decimal, simply divide the numerator by the denominator using long division.
Step 1: Step 1: Set up 1 divided by 7
Step 2: Step 2: Perform the division, noting that 7 goes into 1 zero times, so add a decimal point and zeros after the 1
Math Tutor Explanation Using Pattern Recognition Method
The decimal representation of 1/7 creates a repeating pattern, which can be observed after a few division steps.
Step 1: Step 1: Divide 1 by 7 and record the first few digits after the decimal
Step 2: Step 2: Notice that after a few digits, the same sequence (142857) repeats itself indefinitely
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Expand your understanding of converting fractions to decimals with these related exercises.
FAQ on Converting Fractions to Decimals
Is 1/7 a terminating or repeating decimal?
1/7 is a repeating decimal.
How do you know if a fraction will have a repeating decimal?
If the denominator has prime factors other than 2 or 5, the decimal will repeat.
What is the repeating sequence for 1/7 as a decimal?
The repeating sequence is 142857.
How can I write 1/7 as a decimal rounded to three places?
Rounded to three decimal places, 1/7 is approximately 0.143.
Why are repeating decimals important?
Recognizing repeating decimals helps in understanding rational numbers and accurate numeric representation.
Math & reading from 1st to 9th grade
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