What is 1/7 as a decimal?

1/7 as a decimal is 0.142857

Want to practice?

Question 1Convert the fraction

What is 1/7 written as a decimal?

Answer

0.14285714.

Divide 1 by 7.

Question 2Check with multiplication

How can you check the decimal value of 1/7?

Answer

Multiply 0.14285714 by 7; the result is 1.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 1/7?

Answer

14.2857%.

Multiply the decimal 0.14285714 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 1/7 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.14285714.

Solution

The decimals are numbers that have a whole number part and a fraction part separated by a decimal point. The digits on the left of the decimal point represent the whole number part and the digits on the right represent the fraction part.

All fractions can be converted to decimal form using the long division method. The long division method involves the division of the numerator by the denominator.

The long division of some fractions gives the same quotient value repeatedly and hence the decimal becomes a non-terminating decimal number or a recurring decimal number.

The recurring decimal numbers have one or more of the digits repeated sequentially.

Let us take the example of fraction $$\frac17$$ to perform the long division.

It can be seen that the remainder 1 is repeated again in the last step. We can stop the division once the remainder is repeated. It implies that the digits 142857 are recurring and the division will not end.

Hence the answer to the fraction can be written as 0.142857142857…… or

$$0.\overline{142857}$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{1}{7}$$, the number 1 is the dividend (our numerator)
• The number 7 is our divisor (our denominator). 

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

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