11/3 as a Decimal

Answer

11/3 in decimals can be written as 3.66666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 11/3 in decimal, we will use the division method. Since 11 is larger than 3, we will proceed with the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (11) will be taken as dividend and denominator (3) will be taken as divisor.

Step 2: Divide 11 by 3. 3 goes into 11 three times because 3 × 3 = 9.

Step 3: Subtract 9 from 11. The remainder is 2.

Step 4: Bring down a 0 to make it 20.

Step 5: Divide 20 by 3. 3 goes into 20 six times because 3 × 6 = 18.

Step 6: Subtract 18 from 20. The remainder is 2.

Step 7: Repeat the process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 11/3 as a decimal will be 3.6666……

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the 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 one or more digits repeat infinitely.