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Last updated on March 2nd, 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 (the number on the top) here, 11 represents how many parts out of the whole. The denominator (the 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 (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
11/12 in decimals can be written as approximately 0.91666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
To get 11/12 in decimal, we will use the division method. Here, as 11 is smaller than 12, we will take help of the decimal method which will give us approximately 0.91666. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (12) will be taken as the divisor.
Step 2: As 11 is smaller than 12, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which makes 11 as 110 and adds a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 12. Let's see how many times 12 fits into 110.
Step 4: 110 is not a multiple of 12, so we will look for the nearest number that is 12 × 9 = 108. We will write 9 in the quotient place and subtract 108 from 110, which gives 2.
Step 5: Bring down another 0 in the dividend place to make 2 as 20, then repeat the division process. The division process continues, giving a recurring decimal.
The answer for 11/12 as a decimal will be approximately 0.91666……