What is 3/7 as a decimal?

3/7 as a decimal is 0.428571

Want to practice?

Question 1Convert the fraction

What is 3/7 written as a decimal?

Answer

0.42857143.

Divide 3 by 7.

Question 2Check with multiplication

How can you check the decimal value of 3/7?

Answer

Multiply 0.42857143 by 7; the result is 3.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 3/7?

Answer

42.8571%.

Multiply the decimal 0.42857143 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 3/7 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.42857143.

Long Division Method

Fractions are simplified using the long division method. The long division method involves the manual division by dividing the digits one-by-one or pairs until we reach the remainder as zero.

In some divisions, we do not reach the remainder 0 and the division continues repeating the same remainders. In such cases, the quotient will have the decimal number in which one or a particular sequence of numbers occurs again and again. These are called recurring decimal numbers or repeating decimal numbers.

Here the given fraction $$\frac37$$ is a fraction that gives a repeating decimal value.

Let us find the value by dividing the numerator 3 by the denominator 7.

• Note that we have added zeros in each step after placing a decimal point in the quotient.
• In the last step, the remainder is 3, which is the same as the value in the first step. Hence we will get the same digits in the quotient when the division continues.
• Here the digits 428571 are recurring.
• To denote the recurring digits, a bar is placed over them.

Hence the decimal value of the fraction is $$0.\overline{428571}$$.

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac37$$, the number 3 is the dividend (our numerator)
• The number 7 is our divisor (our denominator). 

You may be interested in what is 6/7 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