11 2/3 as a Decimal

Answer

11 2/3 in decimals can be written as 11.6666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 11 2/3 into a decimal, we separate 11 and 2/3. 11 is already a whole number. For 2/3, we will use the division method.

Step 1: Identify the numerator and denominator for the fraction part, with the numerator (2) as the dividend and the denominator (3) as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided directly, so we will use decimals. We add 0 to the dividend, making it 20, and add a decimal point in the quotient.

Step 3: Divide 20 by 3. Let's see how many times 3 fits into 20.

Step 4: 20 is not a multiple of 3, so we find the nearest multiple: 3 × 6 = 18. Write 6 in the quotient and subtract 18 from 20 to get 2.

Step 5: Bring down another 0, making it 20 again, and repeat the division process. The division process continues without the remainder reaching 0, making this a recurring decimal. The answer for 2/3 as a decimal is 0.6666……

Therefore, 11 2/3 as a decimal is 11.6666……

• 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 where one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Dividend: The number that is being divided in a division operation.