2 2/11 as a Decimal

Answer

2 2/11 in decimals can be written as 2.1818… It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 2 2/11 to a decimal, we will use the division method for the fractional part. Let's break down the process step by step:

Step 1: Convert the mixed number to an improper fraction. The whole number 2 and the fraction 2/11 can be combined as (2×11)+2 = 24/11.

Step 2: Identify the numerator and denominator. Here, 24 is the numerator (dividend), and 11 is the denominator (divisor).

Step 3: Divide 24 by 11. Since 24 is greater than 11, we perform the division directly.

Step 4: 24 ÷ 11 equals 2 with a remainder of 2. Write 2 in the quotient place.

Step 5: Bring down a zero to make the remainder 20, and continue the division: 20 ÷ 11 equals 1 with a remainder of 9.

Step 6: Bring down another zero to make it 90, and repeat the division: 90 ÷ 11 equals 8 with a remainder of 2.

Step 7: Repeat the process with the remainder 2, bringing down another zero each time. This is a recurring decimal, as the remainder and quotient repeat.

The answer for 2 2/11 as a decimal will be 2.1818…

• 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.
   
• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
   
• Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.