2/11 as a Decimal

Answer

2/11 in decimals can be written as 0.181818…. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 2/11 in decimal, we will use the division method. Here as 2 is smaller than 11, we will take help of the decimal method which will give us 0.181818…. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: As 2 is smaller than 11, it cannot be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we can divide it by 11. Let's see how many times 11 fits into 20.

Step 4: 20 is not a multiple of 11, so we will look for the nearest number that is 11 × 1 = 11. We will write 1 in the quotient place and subtract 11 from 20, giving us 9.

Step 5: Bring down another 0 in the dividend place, making 9 as 90, and then repeat the division process. Step 6: 90 divided by 11 is 8 with a remainder of 2. Repeat the cycle. This process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 2/11 as a decimal is 0.181818….

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Divisor: The number by which the dividend is divided in a division operation.