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Last updated on March 3rd, 2025
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 in decimals can be written as 0.08333..... It is a recurring decimal, showing it will repeat the same digit infinitely.
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……