What is 2/7 as a decimal?

2 min read
What is 2/7 as a decimal?

2/7 as a decimal is 0.285714

Want to practice?

A repeating decimal is a decimal number that has its decimal digits repeated periodically.

For example:

1.83333…., 0.2323232…., 2.254725472547….

Such decimals are represented by placing a bar over the repeating digits.


Let us consider the fraction $$\frac27$$ to be converted to decimal form.
Note that since 2 cannot be divided by 7, you can add zeros to the dividend by placing a decimal point in the quotient.

2 over 7 as a decimal

We get different remainders in each step 6,4,5,1 and 3 after which the remainder is 2. Hence if we were to proceed with the division, we will get the same digits in the quotient again.
The answer would go on as 0.285714285714……

Boost your score What is a repeating decimal? Give example img

We can stop the division when the remainder repeats itself.

Hence the answer is 0.285714285714……. This is written as $$0.\overline{285714}$$.


Here are some common terms you should be familiar with.

  • In the fraction $$\frac27$$, the number 2 is the dividend (our numerator)
  • The number 7 is our divisor (our denominator)

You may be interested in what is 2/5 as a decimal fraction?

Find More Fractions to Decimals