What is 6/11 as a decimal?

6/11 as a decimal is 0.536

Want to practice?

Question 1Convert the fraction

What is 6/11 written as a decimal?

Answer

0.54545455.

Divide 6 by 11.

Question 2Check with multiplication

How can you check the decimal value of 6/11?

Answer

Multiply 0.54545455 by 11; the result is 6.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 6/11?

Answer

54.5455%.

Multiply the decimal 0.54545455 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 6/11 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.54545455.

Solution

All fractions can be converted to decimals. Like fractions, the decimals are also a representation of the combination of both the whole numbers and the fraction parts separated by a decimal point.

To convert the fraction to a decimal, we need to divide the numerator by the denominator.

Here the numerator is 6 and the denominator is 11. Hence 6 should be divided by 11 using the long division method.

The fractions in which the numerator is greater than the denominator are called proper fractions. The decimal value of these fractions is less than 1.

As we can see that here 11 > 6, hence the value of the decimal is less than 1. To carry out the division, we add 0 to 6 to make it 60 after placing a decimal point in the quotient.

Let us carry out the division.

As we go ahead with the division, we can note that the remainders in steps 4 and 5 are the same as the remainders in steps 2 and 3. This shows that the digits 3 and 6 are repeated infinitely.

Hence we can stop the division at the point where the previous remainders are repeated and write the answer as

$$\frac6{11}=0.53636...=0.5\overline{36}$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{6}{11}$$, the number 6 is the dividend (our numerator)
• The number 11 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

You can read about what is 3/16 as a decimal fraction here.