1/12 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 1, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 12. A decimal is a way to represent a number that is not whole, using a (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

1/12 as a Decimal for US Students

What is 1/12 as a decimal?

$1/12 as a decimal$ Answer

1/12 in decimals can be written as 0.08333..... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/12 in decimal, we will use the division method. Here, as 1 is smaller than 12, we will take the help of the decimal method, which will give us 0.08333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: As 1 is smaller than 12, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can't divide it by 12, so we will add another 0, making it 100.

Step 4: 100 is not a multiple of 12, so we will look for the nearest number that is 12 × 8 = 96. We will write 8 in the quotient place and subtract 96 from 100, giving 4.

Step 5: Bring down another 0 in the dividend place and make 4 as 40 and then repeat the division process. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 1/12 as a decimal will be 0.08333……

Important Glossaries for 1/12 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.