What is 5/6 as a decimal?

5/6 as a decimal is 0.833...

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Question 1Convert the fraction

What is 5/6 written as a decimal?

Answer

0.83333333.

Divide 5 by 6.

Question 2Check with multiplication

How can you check the decimal value of 5/6?

Answer

Multiply 0.83333333 by 6; the result is 5.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 5/6?

Answer

83.3333%.

Multiply the decimal 0.83333333 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 5/6 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.83333333.

The fraction has two parts- the numerator and the denominator. The number at the top is called the numerator and the number at the bottom is called the denominator.

A fraction can be written in its decimal form by dividing the numerator by the denominator.

Remember that in a division the number that is divided is called the dividend and the number that divides is called the divisor. The resulting answer is called the quotient.

Solution

Let’s divide 5 by 6. Note that since 5 cannot be divided by 6, you can add zeros (in red) to the dividend by placing a decimal point in the quotient.

Here we can see that once we place the decimal point in the quotient, we can keep adding 0 at each level to make the number divisible.
It can be seen that the division is repeating. Hence the answer is 0.83……. This is written as $$0.8\overline3$$.

The decimals that have one or more numbers repeated are called the repeating decimals. The digits that are repeated are denoted by placing a bar over them.

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

How to find out: what is 1/16 as a decimal fraction?