11 1/9 as a Decimal

Answer

11 1/9 as a decimal is approximately 11.1111… It is a recurring decimal, meaning the digit 1 repeats indefinitely.

Explanation

To convert 11 1/9 to a decimal, we separate the whole number 11 and the fraction 1/9. Let's convert 1/9 to a decimal using division.

Step 1: Identify the numerator and denominator. Here, 1 is the numerator and 9 is the denominator.

Step 2: Divide 1 by 9. Since 1 is smaller than 9, we use the decimal method. Add a decimal point and a zero to make it 10.

Step 3: Divide 10 by 9. 9 goes into 10 once, so we write 1 in the quotient and subtract 9 from 10, leaving 1.

Step 4: Bring down another 0, making it 10 again, and repeat the division.

Step 5: The process repeats, resulting in a recurring decimal 0.1111… Finally, add the whole number part: 11 + 0.1111… = 11.1111…

• Mixed Number: A number consisting of a whole number and a fraction.
   
• Decimal: A number that uses a base-ten system and includes a decimal point to separate the whole number from the fractional part.
   
• Recurring Decimal: A decimal in which a digit or group of digits repeats indefinitely.
   
• 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.