What is 2/7 as a decimal?

2/7 as a decimal is 0.285714

Want to practice?

Question 1Convert the fraction

What is 2/7 written as a decimal?

Answer

0.28571429.

Divide 2 by 7.

Question 2Check with multiplication

How can you check the decimal value of 2/7?

Answer

Multiply 0.28571429 by 7; the result is 2.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 2/7?

Answer

28.5714%.

Multiply the decimal 0.28571429 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 2/7 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.28571429.

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.
$$1.8\overline3,\;0.\overline{23},\;2.\overline{2547}$$

Solution

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.

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……

We can stop the division when the remainder repeats itself.

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

Remember

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

1/1 = 1	1/8 = 0.125	3/4 = 0.75	7/9 = 0.7	11/16 = 0.6875	8/9 = 0.8	7/8 = 0.875	4/5 = 0.8
1/2 = 0.5	1/9 = 0.1	2/5 = 0.4	3/10 = 0.3	15/32 = 0.4687	7/10 = 0.7	5/9 = 0.5	4/7 = 0.571
1/3 = 0.3	1/10 = 0.1	5/6 = 0.83	2/11 = 0.18	3/5 = 0.6	3/11 = 0.27	9/10 = 0.9
1/4 = 0.25	1/11 = 0.09	2/7 = 0.28571	5/11 = 0.45	3/7 = 0.428571	6/11 = 0.54	4/11 = 0.36
1/5 = 0.2	1/12 = 0.083	5/7 = 0.71428	8/11 = 0.72	6/7 = 0.85714	7/12 = 0.583	7/16 = 0.4375
1/6 = 0.16	1/16 = 0.0625	3/8 = 0.375	5/12 = 0.416	5/8 = 0.625	5/16 = 0.3125	15/16 = 0.9375
1/7 = 0.142857	2/3 = 0.6	2/9 = 0.2	3/16 = 0.1875	4/9 = 0.4	13/16 = 0.8125	19/32 = 0.5937