What is 5/12 as a decimal?

5/12 as a decimal is 0.416

Want to practice?

Question 1Convert the fraction

What is 5/12 written as a decimal?

Answer

0.41666667.

Divide 5 by 12.

Question 2Check with multiplication

How can you check the decimal value of 5/12?

Answer

Multiply 0.41666667 by 12; the result is 5.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 5/12?

Answer

41.6667%.

Multiply the decimal 0.41666667 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 5/12 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.41666667.

Solution

The fraction $$\frac5{12}$$ can be written as $$5\div12$$ .

Carry out the division using the long division method with 5 as the dividend and 12 as the divisor.

As 12 > 5, the division cannot be carried out. Hence place a decimal point in the answer to add 0 to 5.

12 divides 50 four times to give 48.

Subtract 48 from 50 to get the remainder 2.

As 2 is not divisible by 12, add 0 to 2 to get 20. 20 is divisible by 12 one time.
Subtract 12 from 20 to get the remainder 8.

12 divides 80 six times to give 72.
Subtract 72 from 80 to get the remainder 8.

It can be seen that the remainder 8 is repeated as in the previous step.

The repetition of the remainder will give the same digits in the quotient again.

Hence the answer would be 0.4166666….

So 0.4166666…. there is a repeating decimal example.

To denote that the digit 6 is repeating, use a bar above 6 to show that the number is repeated.

$$\frac5{12}=0.41\overline6$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac5{12}$$, the number 5 is the dividend (our numerator)
• The number 12 is our divisor (our denominator). 

You may be interested: what is 6/11 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