6/11 as a Decimal

Answer

6/11 in decimals can be written as 0.545454….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 6/11 in decimal, we will use the division method. Here as 6 is smaller than 11, we will take help of the decimal method which will give us 0.545454. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: As 6 is smaller than 11, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 6 as 60 and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 11. Let's see how many times 11 makes 60.

Step 4: 60 is not a multiple of 11, so we will look for the nearest number that is 11 × 5 = 55. We will write 5 in the quotient place and subtract 55 from 60, which gives 5.

Step 5: Bring down another 0 in the dividend place and make 5 as 50 and then repeat the division process. The division process continues; we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 6/11 as a decimal will be 0.545454……

• 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.
   
• 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 pattern of one or more digits is repeated indefinitely.