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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 11, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. 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.
11/18 in decimals can be written as approximately 0.6111. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 11/18 in decimal, we will use the division method. Here, 11 is smaller than 18, so we take the help of the decimal method, which will give us 0.6111. 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 (18) will be taken as the divisor.
Step 2: As 11 is smaller than 18, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110 and add a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 18. Let's see how many times 18 fits into 110.
Step 4: 18 × 6 = 108 is the nearest number to 110. We will write 6 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, 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 11/18 as a decimal will be approximately 0.6111…